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Finding the Fourth Proportional to 52,678.88, 72,695.44 and 31,169.74

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Solution

The fourth proportional to 52,678.88, 72,695.44 and 31,169.74 is: 43,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,678.88 : 72,695.44 = 31,169.74 : x
  2. Step 2: Convert to fraction form
    52,678.88/72,695.44 = 31,169.74/x
  3. Step 3: Cross multiply
    52,678.88x = 72,695.44 × 31,169.74
  4. Step 4: Simplify right side
    52,678.88x = 2,265,897,963.99
  5. Step 5: Solve for x
    x = 2,265,897,963.99/52,678.88
  6. Step 6: Final answer
    x = 43,013.40

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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.