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Finding the Fourth Proportional to 30,535.43, 45,805.37 and 9,472.80

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Solution

The fourth proportional to 30,535.43, 45,805.37 and 9,472.80 is: 14,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,535.43 : 45,805.37 = 9,472.80 : x
  2. Step 2: Convert to fraction form
    30,535.43/45,805.37 = 9,472.80/x
  3. Step 3: Cross multiply
    30,535.43x = 45,805.37 × 9,472.80
  4. Step 4: Simplify right side
    30,535.43x = 433,905,061.57
  5. Step 5: Solve for x
    x = 433,905,061.57/30,535.43
  6. Step 6: Final answer
    x = 14,209.89

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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.