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Finding the Fourth Proportional to 71,269.80, 98,345.64 and 42,583.75

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Solution

The fourth proportional to 71,269.80, 98,345.64 and 42,583.75 is: 58,761.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,269.80 : 98,345.64 = 42,583.75 : x
  2. Step 2: Convert to fraction form
    71,269.80/98,345.64 = 42,583.75/x
  3. Step 3: Cross multiply
    71,269.80x = 98,345.64 × 42,583.75
  4. Step 4: Simplify right side
    71,269.80x = 4,187,926,147.35
  5. Step 5: Solve for x
    x = 4,187,926,147.35/71,269.80
  6. Step 6: Final answer
    x = 58,761.58

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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.