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Finding the Fourth Proportional to 52,177.57, 78,232.32 and 34,354.28

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Solution

The fourth proportional to 52,177.57, 78,232.32 and 34,354.28 is: 51,509.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,177.57 : 78,232.32 = 34,354.28 : x
  2. Step 2: Convert to fraction form
    52,177.57/78,232.32 = 34,354.28/x
  3. Step 3: Cross multiply
    52,177.57x = 78,232.32 × 34,354.28
  4. Step 4: Simplify right side
    52,177.57x = 2,687,615,026.33
  5. Step 5: Solve for x
    x = 2,687,615,026.33/52,177.57
  6. Step 6: Final answer
    x = 51,509.02

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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.