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Finding the Fourth Proportional to 76,108.69, 105,027.41 and 42,118.61

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Solution

The fourth proportional to 76,108.69, 105,027.41 and 42,118.61 is: 58,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,108.69 : 105,027.41 = 42,118.61 : x
  2. Step 2: Convert to fraction form
    76,108.69/105,027.41 = 42,118.61/x
  3. Step 3: Cross multiply
    76,108.69x = 105,027.41 × 42,118.61
  4. Step 4: Simplify right side
    76,108.69x = 4,423,608,785.10
  5. Step 5: Solve for x
    x = 4,423,608,785.10/76,108.69
  6. Step 6: Final answer
    x = 58,122.25

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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.