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Finding the Fourth Proportional to 70,717.52, 106,070.64 and 41,116.48

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Solution

The fourth proportional to 70,717.52, 106,070.64 and 41,116.48 is: 61,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,717.52 : 106,070.64 = 41,116.48 : x
  2. Step 2: Convert to fraction form
    70,717.52/106,070.64 = 41,116.48/x
  3. Step 3: Cross multiply
    70,717.52x = 106,070.64 × 41,116.48
  4. Step 4: Simplify right side
    70,717.52x = 4,361,251,348.15
  5. Step 5: Solve for x
    x = 4,361,251,348.15/70,717.52
  6. Step 6: Final answer
    x = 61,671.44

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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.