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Finding the Fourth Proportional to 52,132.65, 71,943.03 and 28,259.25

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Solution

The fourth proportional to 52,132.65, 71,943.03 and 28,259.25 is: 38,997.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,132.65 : 71,943.03 = 28,259.25 : x
  2. Step 2: Convert to fraction form
    52,132.65/71,943.03 = 28,259.25/x
  3. Step 3: Cross multiply
    52,132.65x = 71,943.03 × 28,259.25
  4. Step 4: Simplify right side
    52,132.65x = 2,033,056,070.53
  5. Step 5: Solve for x
    x = 2,033,056,070.53/52,132.65
  6. Step 6: Final answer
    x = 38,997.75

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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.