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Finding the Fourth Proportional to 48,502.98, 72,822.51 and 39,657.78

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Solution

The fourth proportional to 48,502.98, 72,822.51 and 39,657.78 is: 59,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,502.98 : 72,822.51 = 39,657.78 : x
  2. Step 2: Convert to fraction form
    48,502.98/72,822.51 = 39,657.78/x
  3. Step 3: Cross multiply
    48,502.98x = 72,822.51 × 39,657.78
  4. Step 4: Simplify right side
    48,502.98x = 2,887,979,080.63
  5. Step 5: Solve for x
    x = 2,887,979,080.63/48,502.98
  6. Step 6: Final answer
    x = 59,542.30

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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.