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Finding the Fourth Proportional to 76,644.92, 105,767.82 and 42,652.86

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Solution

The fourth proportional to 76,644.92, 105,767.82 and 42,652.86 is: 58,859.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,644.92 : 105,767.82 = 42,652.86 : x
  2. Step 2: Convert to fraction form
    76,644.92/105,767.82 = 42,652.86/x
  3. Step 3: Cross multiply
    76,644.92x = 105,767.82 × 42,652.86
  4. Step 4: Simplify right side
    76,644.92x = 4,511,300,018.97
  5. Step 5: Solve for x
    x = 4,511,300,018.97/76,644.92
  6. Step 6: Final answer
    x = 58,859.74

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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.