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Finding the Fourth Proportional to 92,877.76, 139,414.92 and 57,842.02

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Solution

The fourth proportional to 92,877.76, 139,414.92 and 57,842.02 is: 86,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,877.76 : 139,414.92 = 57,842.02 : x
  2. Step 2: Convert to fraction form
    92,877.76/139,414.92 = 57,842.02/x
  3. Step 3: Cross multiply
    92,877.76x = 139,414.92 × 57,842.02
  4. Step 4: Simplify right side
    92,877.76x = 8,064,040,590.94
  5. Step 5: Solve for x
    x = 8,064,040,590.94/92,877.76
  6. Step 6: Final answer
    x = 86,824.24

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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.