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Finding the Fourth Proportional to 74,099.88, 102,257.84 and 40,565.88

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Solution

The fourth proportional to 74,099.88, 102,257.84 and 40,565.88 is: 55,980.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,099.88 : 102,257.84 = 40,565.88 : x
  2. Step 2: Convert to fraction form
    74,099.88/102,257.84 = 40,565.88/x
  3. Step 3: Cross multiply
    74,099.88x = 102,257.84 × 40,565.88
  4. Step 4: Simplify right side
    74,099.88x = 4,148,178,552.38
  5. Step 5: Solve for x
    x = 4,148,178,552.38/74,099.88
  6. Step 6: Final answer
    x = 55,980.91

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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.