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Finding the Fourth Proportional to 31,593.18, 47,389.29 and 9,406.69

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Solution

The fourth proportional to 31,593.18, 47,389.29 and 9,406.69 is: 14,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,593.18 : 47,389.29 = 9,406.69 : x
  2. Step 2: Convert to fraction form
    31,593.18/47,389.29 = 9,406.69/x
  3. Step 3: Cross multiply
    31,593.18x = 47,389.29 × 9,406.69
  4. Step 4: Simplify right side
    31,593.18x = 445,776,360.35
  5. Step 5: Solve for x
    x = 445,776,360.35/31,593.18
  6. Step 6: Final answer
    x = 14,109.89

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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.