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Finding the Fourth Proportional to 76,105.89, 105,031.39 and 42,115.82

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Solution

The fourth proportional to 76,105.89, 105,031.39 and 42,115.82 is: 58,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,105.89 : 105,031.39 = 42,115.82 : x
  2. Step 2: Convert to fraction form
    76,105.89/105,031.39 = 42,115.82/x
  3. Step 3: Cross multiply
    76,105.89x = 105,031.39 × 42,115.82
  4. Step 4: Simplify right side
    76,105.89x = 4,423,482,485.14
  5. Step 5: Solve for x
    x = 4,423,482,485.14/76,105.89
  6. Step 6: Final answer
    x = 58,122.74

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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.