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Finding the Fourth Proportional to 92,582.76, 138,874.56 and 22,462.02

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Solution

The fourth proportional to 92,582.76, 138,874.56 and 22,462.02 is: 33,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,582.76 : 138,874.56 = 22,462.02 : x
  2. Step 2: Convert to fraction form
    92,582.76/138,874.56 = 22,462.02/x
  3. Step 3: Cross multiply
    92,582.76x = 138,874.56 × 22,462.02
  4. Step 4: Simplify right side
    92,582.76x = 3,119,403,144.21
  5. Step 5: Solve for x
    x = 3,119,403,144.21/92,582.76
  6. Step 6: Final answer
    x = 33,693.13

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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.