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Finding the Fourth Proportional to 30,656,505.46, 45,910,057.74 and 20,275,400.20

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Solution

The fourth proportional to 30,656,505.46, 45,910,057.74 and 20,275,400.20 is: 30,363,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656,505.46 : 45,910,057.74 = 20,275,400.20 : x
  2. Step 2: Convert to fraction form
    30,656,505.46/45,910,057.74 = 20,275,400.20/x
  3. Step 3: Cross multiply
    30,656,505.46x = 45,910,057.74 × 20,275,400.20
  4. Step 4: Simplify right side
    30,656,505.46x = 930,844,793,883,607.50
  5. Step 5: Solve for x
    x = 930,844,793,883,607.50/30,656,505.46
  6. Step 6: Final answer
    x = 30,363,695.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.