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Finding the Fourth Proportional to 52,660.98, 72,654.41 and 29,983.93

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Solution

The fourth proportional to 52,660.98, 72,654.41 and 29,983.93 is: 41,367.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,660.98 : 72,654.41 = 29,983.93 : x
  2. Step 2: Convert to fraction form
    52,660.98/72,654.41 = 29,983.93/x
  3. Step 3: Cross multiply
    52,660.98x = 72,654.41 × 29,983.93
  4. Step 4: Simplify right side
    52,660.98x = 2,178,464,630.47
  5. Step 5: Solve for x
    x = 2,178,464,630.47/52,660.98
  6. Step 6: Final answer
    x = 41,367.72

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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.