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Finding the Fourth Proportional to 52,192, 72,024.53 and 29,530.80

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Solution

The fourth proportional to 52,192, 72,024.53 and 29,530.80 is: 40,752.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,192 : 72,024.53 = 29,530.80 : x
  2. Step 2: Convert to fraction form
    52,192/72,024.53 = 29,530.80/x
  3. Step 3: Cross multiply
    52,192x = 72,024.53 × 29,530.80
  4. Step 4: Simplify right side
    52,192x = 2,126,941,990.52
  5. Step 5: Solve for x
    x = 2,126,941,990.52/52,192
  6. Step 6: Final answer
    x = 40,752.26

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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.