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Finding the Fourth Proportional to 84,032.60, 115,960.36 and 52,200.92

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Solution

The fourth proportional to 84,032.60, 115,960.36 and 52,200.92 is: 72,034.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,032.60 : 115,960.36 = 52,200.92 : x
  2. Step 2: Convert to fraction form
    84,032.60/115,960.36 = 52,200.92/x
  3. Step 3: Cross multiply
    84,032.60x = 115,960.36 × 52,200.92
  4. Step 4: Simplify right side
    84,032.60x = 6,053,237,475.53
  5. Step 5: Solve for x
    x = 6,053,237,475.53/84,032.60
  6. Step 6: Final answer
    x = 72,034.39

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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.