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Finding the Fourth Proportional to 92,431.52, 138,656.16 and 25,871.84

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Solution

The fourth proportional to 92,431.52, 138,656.16 and 25,871.84 is: 38,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,431.52 : 138,656.16 = 25,871.84 : x
  2. Step 2: Convert to fraction form
    92,431.52/138,656.16 = 25,871.84/x
  3. Step 3: Cross multiply
    92,431.52x = 138,656.16 × 25,871.84
  4. Step 4: Simplify right side
    92,431.52x = 3,587,289,986.53
  5. Step 5: Solve for x
    x = 3,587,289,986.53/92,431.52
  6. Step 6: Final answer
    x = 38,810.25

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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.