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Finding the Fourth Proportional to 76,387, 105,414.78 and 42,853.72

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Solution

The fourth proportional to 76,387, 105,414.78 and 42,853.72 is: 59,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,387 : 105,414.78 = 42,853.72 : x
  2. Step 2: Convert to fraction form
    76,387/105,414.78 = 42,853.72/x
  3. Step 3: Cross multiply
    76,387x = 105,414.78 × 42,853.72
  4. Step 4: Simplify right side
    76,387x = 4,517,415,465.98
  5. Step 5: Solve for x
    x = 4,517,415,465.98/76,387
  6. Step 6: Final answer
    x = 59,138.54

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