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Finding the Fourth Proportional to 52,691.76, 72,709.08 and 31,468.08

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Solution

The fourth proportional to 52,691.76, 72,709.08 and 31,468.08 is: 43,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,691.76 : 72,709.08 = 31,468.08 : x
  2. Step 2: Convert to fraction form
    52,691.76/72,709.08 = 31,468.08/x
  3. Step 3: Cross multiply
    52,691.76x = 72,709.08 × 31,468.08
  4. Step 4: Simplify right side
    52,691.76x = 2,288,015,146.17
  5. Step 5: Solve for x
    x = 2,288,015,146.17/52,691.76
  6. Step 6: Final answer
    x = 43,422.64

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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.