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Finding the Fourth Proportional to 114,843.68, 172,275.12 and 43,748

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Solution

The fourth proportional to 114,843.68, 172,275.12 and 43,748 is: 65,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,843.68 : 172,275.12 = 43,748 : x
  2. Step 2: Convert to fraction form
    114,843.68/172,275.12 = 43,748/x
  3. Step 3: Cross multiply
    114,843.68x = 172,275.12 × 43,748
  4. Step 4: Simplify right side
    114,843.68x = 7,536,691,949.76
  5. Step 5: Solve for x
    x = 7,536,691,949.76/114,843.68
  6. Step 6: Final answer
    x = 65,625.66

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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.