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Finding the Fourth Proportional to 30,312.54, 45,475.83 and 9,535.50

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Solution

The fourth proportional to 30,312.54, 45,475.83 and 9,535.50 is: 14,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.54 : 45,475.83 = 9,535.50 : x
  2. Step 2: Convert to fraction form
    30,312.54/45,475.83 = 9,535.50/x
  3. Step 3: Cross multiply
    30,312.54x = 45,475.83 × 9,535.50
  4. Step 4: Simplify right side
    30,312.54x = 433,634,776.97
  5. Step 5: Solve for x
    x = 433,634,776.97/30,312.54
  6. Step 6: Final answer
    x = 14,305.46

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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.