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Finding the Fourth Proportional to 31,658.57, 43,686.10 and 17,507.87

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Solution

The fourth proportional to 31,658.57, 43,686.10 and 17,507.87 is: 24,159.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.57 : 43,686.10 = 17,507.87 : x
  2. Step 2: Convert to fraction form
    31,658.57/43,686.10 = 17,507.87/x
  3. Step 3: Cross multiply
    31,658.57x = 43,686.10 × 17,507.87
  4. Step 4: Simplify right side
    31,658.57x = 764,850,559.61
  5. Step 5: Solve for x
    x = 764,850,559.61/31,658.57
  6. Step 6: Final answer
    x = 24,159.35

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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.