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Finding the Fourth Proportional to 30,532.54, 45,805.35 and 9,472.13

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Solution

The fourth proportional to 30,532.54, 45,805.35 and 9,472.13 is: 14,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.54 : 45,805.35 = 9,472.13 : x
  2. Step 2: Convert to fraction form
    30,532.54/45,805.35 = 9,472.13/x
  3. Step 3: Cross multiply
    30,532.54x = 45,805.35 × 9,472.13
  4. Step 4: Simplify right side
    30,532.54x = 433,874,229.90
  5. Step 5: Solve for x
    x = 433,874,229.90/30,532.54
  6. Step 6: Final answer
    x = 14,210.22

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