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Finding the Fourth Proportional to 31,505.70, 47,242.14 and 14,861.27

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Solution

The fourth proportional to 31,505.70, 47,242.14 and 14,861.27 is: 22,284.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,505.70 : 47,242.14 = 14,861.27 : x
  2. Step 2: Convert to fraction form
    31,505.70/47,242.14 = 14,861.27/x
  3. Step 3: Cross multiply
    31,505.70x = 47,242.14 × 14,861.27
  4. Step 4: Simplify right side
    31,505.70x = 702,077,961.71
  5. Step 5: Solve for x
    x = 702,077,961.71/31,505.70
  6. Step 6: Final answer
    x = 22,284.16

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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.