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Finding the Fourth Proportional to 31,773.90, 47,661.19 and 9,587.47

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Solution

The fourth proportional to 31,773.90, 47,661.19 and 9,587.47 is: 14,381.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,773.90 : 47,661.19 = 9,587.47 : x
  2. Step 2: Convert to fraction form
    31,773.90/47,661.19 = 9,587.47/x
  3. Step 3: Cross multiply
    31,773.90x = 47,661.19 × 9,587.47
  4. Step 4: Simplify right side
    31,773.90x = 456,950,229.29
  5. Step 5: Solve for x
    x = 456,950,229.29/31,773.90
  6. Step 6: Final answer
    x = 14,381.31

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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.