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Finding the Fourth Proportional to 52,952.50, 73,074.92 and 29,079.34

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Solution

The fourth proportional to 52,952.50, 73,074.92 and 29,079.34 is: 40,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.50 : 73,074.92 = 29,079.34 : x
  2. Step 2: Convert to fraction form
    52,952.50/73,074.92 = 29,079.34/x
  3. Step 3: Cross multiply
    52,952.50x = 73,074.92 × 29,079.34
  4. Step 4: Simplify right side
    52,952.50x = 2,124,970,116.07
  5. Step 5: Solve for x
    x = 2,124,970,116.07/52,952.50
  6. Step 6: Final answer
    x = 40,129.74

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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.