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Finding the Fourth Proportional to 92,140.38, 138,123 and 36,016.47

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Solution

The fourth proportional to 92,140.38, 138,123 and 36,016.47 is: 53,990.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,140.38 : 138,123 = 36,016.47 : x
  2. Step 2: Convert to fraction form
    92,140.38/138,123 = 36,016.47/x
  3. Step 3: Cross multiply
    92,140.38x = 138,123 × 36,016.47
  4. Step 4: Simplify right side
    92,140.38x = 4,974,702,885.81
  5. Step 5: Solve for x
    x = 4,974,702,885.81/92,140.38
  6. Step 6: Final answer
    x = 53,990.48

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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.