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Finding the Fourth Proportional to 52,475.52, 78,724.26 and 29,052.84

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Solution

The fourth proportional to 52,475.52, 78,724.26 and 29,052.84 is: 43,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475.52 : 78,724.26 = 29,052.84 : x
  2. Step 2: Convert to fraction form
    52,475.52/78,724.26 = 29,052.84/x
  3. Step 3: Cross multiply
    52,475.52x = 78,724.26 × 29,052.84
  4. Step 4: Simplify right side
    52,475.52x = 2,287,163,329.90
  5. Step 5: Solve for x
    x = 2,287,163,329.90/52,475.52
  6. Step 6: Final answer
    x = 43,585.34

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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.