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Finding the Fourth Proportional to 59,049.90, 81,488.90 and 32,192.46

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Solution

The fourth proportional to 59,049.90, 81,488.90 and 32,192.46 is: 44,425.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,049.90 : 81,488.90 = 32,192.46 : x
  2. Step 2: Convert to fraction form
    59,049.90/81,488.90 = 32,192.46/x
  3. Step 3: Cross multiply
    59,049.90x = 81,488.90 × 32,192.46
  4. Step 4: Simplify right side
    59,049.90x = 2,623,328,234.18
  5. Step 5: Solve for x
    x = 2,623,328,234.18/59,049.90
  6. Step 6: Final answer
    x = 44,425.62

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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.