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Finding the Fourth Proportional to 71,970.60, 99,319.86 and 40,141.56

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Solution

The fourth proportional to 71,970.60, 99,319.86 and 40,141.56 is: 55,395.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970.60 : 99,319.86 = 40,141.56 : x
  2. Step 2: Convert to fraction form
    71,970.60/99,319.86 = 40,141.56/x
  3. Step 3: Cross multiply
    71,970.60x = 99,319.86 × 40,141.56
  4. Step 4: Simplify right side
    71,970.60x = 3,986,854,119.38
  5. Step 5: Solve for x
    x = 3,986,854,119.38/71,970.60
  6. Step 6: Final answer
    x = 55,395.59

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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.