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Finding the Fourth Proportional to 48,549.93, 72,731.61 and 29,775.24

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Solution

The fourth proportional to 48,549.93, 72,731.61 and 29,775.24 is: 44,605.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,549.93 : 72,731.61 = 29,775.24 : x
  2. Step 2: Convert to fraction form
    48,549.93/72,731.61 = 29,775.24/x
  3. Step 3: Cross multiply
    48,549.93x = 72,731.61 × 29,775.24
  4. Step 4: Simplify right side
    48,549.93x = 2,165,601,143.34
  5. Step 5: Solve for x
    x = 2,165,601,143.34/48,549.93
  6. Step 6: Final answer
    x = 44,605.65

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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.