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Finding the Fourth Proportional to 71,461, 107,240.64 and 24,713.92

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Solution

The fourth proportional to 71,461, 107,240.64 and 24,713.92 is: 37,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,461 : 107,240.64 = 24,713.92 : x
  2. Step 2: Convert to fraction form
    71,461/107,240.64 = 24,713.92/x
  3. Step 3: Cross multiply
    71,461x = 107,240.64 × 24,713.92
  4. Step 4: Simplify right side
    71,461x = 2,650,336,597.71
  5. Step 5: Solve for x
    x = 2,650,336,597.71/71,461
  6. Step 6: Final answer
    x = 37,087.87

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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.