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Finding the Fourth Proportional to 51,567.57, 71,156.88 and 31,417.14

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Solution

The fourth proportional to 51,567.57, 71,156.88 and 31,417.14 is: 43,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,567.57 : 71,156.88 = 31,417.14 : x
  2. Step 2: Convert to fraction form
    51,567.57/71,156.88 = 31,417.14/x
  3. Step 3: Cross multiply
    51,567.57x = 71,156.88 × 31,417.14
  4. Step 4: Simplify right side
    51,567.57x = 2,235,545,660.92
  5. Step 5: Solve for x
    x = 2,235,545,660.92/51,567.57
  6. Step 6: Final answer
    x = 43,351.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.