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Finding the Fourth Proportional to 30,478.20, 45,728.22 and 22,144.10

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Solution

The fourth proportional to 30,478.20, 45,728.22 and 22,144.10 is: 33,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,478.20 : 45,728.22 = 22,144.10 : x
  2. Step 2: Convert to fraction form
    30,478.20/45,728.22 = 22,144.10/x
  3. Step 3: Cross multiply
    30,478.20x = 45,728.22 × 22,144.10
  4. Step 4: Simplify right side
    30,478.20x = 1,012,610,276.50
  5. Step 5: Solve for x
    x = 1,012,610,276.50/30,478.20
  6. Step 6: Final answer
    x = 33,224.08

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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.