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Finding the Fourth Proportional to 74,099.76, 102,257.67 and 40,565.76

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Solution

The fourth proportional to 74,099.76, 102,257.67 and 40,565.76 is: 55,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,099.76 : 102,257.67 = 40,565.76 : x
  2. Step 2: Convert to fraction form
    74,099.76/102,257.67 = 40,565.76/x
  3. Step 3: Cross multiply
    74,099.76x = 102,257.67 × 40,565.76
  4. Step 4: Simplify right side
    74,099.76x = 4,148,160,099.38
  5. Step 5: Solve for x
    x = 4,148,160,099.38/74,099.76
  6. Step 6: Final answer
    x = 55,980.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.