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Finding the Fourth Proportional to 83,542.68, 125,092.32 and 65,349.60

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Solution

The fourth proportional to 83,542.68, 125,092.32 and 65,349.60 is: 97,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.68 : 125,092.32 = 65,349.60 : x
  2. Step 2: Convert to fraction form
    83,542.68/125,092.32 = 65,349.60/x
  3. Step 3: Cross multiply
    83,542.68x = 125,092.32 × 65,349.60
  4. Step 4: Simplify right side
    83,542.68x = 8,174,733,075.07
  5. Step 5: Solve for x
    x = 8,174,733,075.07/83,542.68
  6. Step 6: Final answer
    x = 97,850.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.