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Finding the Fourth Proportional to 31,425.36, 47,117.24 and 12,437.42

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Solution

The fourth proportional to 31,425.36, 47,117.24 and 12,437.42 is: 18,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425.36 : 47,117.24 = 12,437.42 : x
  2. Step 2: Convert to fraction form
    31,425.36/47,117.24 = 12,437.42/x
  3. Step 3: Cross multiply
    31,425.36x = 47,117.24 × 12,437.42
  4. Step 4: Simplify right side
    31,425.36x = 586,016,917.02
  5. Step 5: Solve for x
    x = 586,016,917.02/31,425.36
  6. Step 6: Final answer
    x = 18,647.90

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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.