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Finding the Fourth Proportional to 89,762.76, 134,644.14 and 27,432.72

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Solution

The fourth proportional to 89,762.76, 134,644.14 and 27,432.72 is: 41,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,762.76 : 134,644.14 = 27,432.72 : x
  2. Step 2: Convert to fraction form
    89,762.76/134,644.14 = 27,432.72/x
  3. Step 3: Cross multiply
    89,762.76x = 134,644.14 × 27,432.72
  4. Step 4: Simplify right side
    89,762.76x = 3,693,654,992.26
  5. Step 5: Solve for x
    x = 3,693,654,992.26/89,762.76
  6. Step 6: Final answer
    x = 41,149.08

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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.