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Finding the Fourth Proportional to 92,412.57, 138,597.63 and 25,857.42

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Solution

The fourth proportional to 92,412.57, 138,597.63 and 25,857.42 is: 38,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,412.57 : 138,597.63 = 25,857.42 : x
  2. Step 2: Convert to fraction form
    92,412.57/138,597.63 = 25,857.42/x
  3. Step 3: Cross multiply
    92,412.57x = 138,597.63 × 25,857.42
  4. Step 4: Simplify right side
    92,412.57x = 3,583,777,129.91
  5. Step 5: Solve for x
    x = 3,583,777,129.91/92,412.57
  6. Step 6: Final answer
    x = 38,780.19

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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.