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Finding the Fourth Proportional to 52,987.38, 73,122.52 and 29,114

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Solution

The fourth proportional to 52,987.38, 73,122.52 and 29,114 is: 40,177.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,987.38 : 73,122.52 = 29,114 : x
  2. Step 2: Convert to fraction form
    52,987.38/73,122.52 = 29,114/x
  3. Step 3: Cross multiply
    52,987.38x = 73,122.52 × 29,114
  4. Step 4: Simplify right side
    52,987.38x = 2,128,889,047.28
  5. Step 5: Solve for x
    x = 2,128,889,047.28/52,987.38
  6. Step 6: Final answer
    x = 40,177.28

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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.