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Finding the Fourth Proportional to 38,766.86, 58,414.07 and 31,900.86

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Solution

The fourth proportional to 38,766.86, 58,414.07 and 31,900.86 is: 48,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,766.86 : 58,414.07 = 31,900.86 : x
  2. Step 2: Convert to fraction form
    38,766.86/58,414.07 = 31,900.86/x
  3. Step 3: Cross multiply
    38,766.86x = 58,414.07 × 31,900.86
  4. Step 4: Simplify right side
    38,766.86x = 1,863,458,909.60
  5. Step 5: Solve for x
    x = 1,863,458,909.60/38,766.86
  6. Step 6: Final answer
    x = 48,068.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.