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Finding the Fourth Proportional to 31,405.29, 47,107.94 and 14,753.10

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Solution

The fourth proportional to 31,405.29, 47,107.94 and 14,753.10 is: 22,129.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.29 : 47,107.94 = 14,753.10 : x
  2. Step 2: Convert to fraction form
    31,405.29/47,107.94 = 14,753.10/x
  3. Step 3: Cross multiply
    31,405.29x = 47,107.94 × 14,753.10
  4. Step 4: Simplify right side
    31,405.29x = 694,988,252.50
  5. Step 5: Solve for x
    x = 694,988,252.50/31,405.29
  6. Step 6: Final answer
    x = 22,129.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.