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Finding the Fourth Proportional to 76,140.87, 105,072.84 and 42,149.36

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Solution

The fourth proportional to 76,140.87, 105,072.84 and 42,149.36 is: 58,165.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140.87 : 105,072.84 = 42,149.36 : x
  2. Step 2: Convert to fraction form
    76,140.87/105,072.84 = 42,149.36/x
  3. Step 3: Cross multiply
    76,140.87x = 105,072.84 × 42,149.36
  4. Step 4: Simplify right side
    76,140.87x = 4,428,752,959.38
  5. Step 5: Solve for x
    x = 4,428,752,959.38/76,140.87
  6. Step 6: Final answer
    x = 58,165.25

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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.