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Finding the Fourth Proportional to 31,381.48, 47,068.11 and 13,847.20

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Solution

The fourth proportional to 31,381.48, 47,068.11 and 13,847.20 is: 20,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,381.48 : 47,068.11 = 13,847.20 : x
  2. Step 2: Convert to fraction form
    31,381.48/47,068.11 = 13,847.20/x
  3. Step 3: Cross multiply
    31,381.48x = 47,068.11 × 13,847.20
  4. Step 4: Simplify right side
    31,381.48x = 651,761,718.83
  5. Step 5: Solve for x
    x = 651,761,718.83/31,381.48
  6. Step 6: Final answer
    x = 20,769.00

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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.