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Finding the Fourth Proportional to 48,658.01, 72,977.28 and 13,597.97

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Solution

The fourth proportional to 48,658.01, 72,977.28 and 13,597.97 is: 20,394.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,658.01 : 72,977.28 = 13,597.97 : x
  2. Step 2: Convert to fraction form
    48,658.01/72,977.28 = 13,597.97/x
  3. Step 3: Cross multiply
    48,658.01x = 72,977.28 × 13,597.97
  4. Step 4: Simplify right side
    48,658.01x = 992,342,499.24
  5. Step 5: Solve for x
    x = 992,342,499.24/48,658.01
  6. Step 6: Final answer
    x = 20,394.23

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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.