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Finding the Fourth Proportional to 30,532.48, 45,805.30 and 9,472.07

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Solution

The fourth proportional to 30,532.48, 45,805.30 and 9,472.07 is: 14,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.48 : 45,805.30 = 9,472.07 : x
  2. Step 2: Convert to fraction form
    30,532.48/45,805.30 = 9,472.07/x
  3. Step 3: Cross multiply
    30,532.48x = 45,805.30 × 9,472.07
  4. Step 4: Simplify right side
    30,532.48x = 433,871,098.80
  5. Step 5: Solve for x
    x = 433,871,098.80/30,532.48
  6. Step 6: Final answer
    x = 14,210.15

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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.