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Finding the Fourth Proportional to 75,097.60, 103,627.20 and 41,560

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Solution

The fourth proportional to 75,097.60, 103,627.20 and 41,560 is: 57,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,097.60 : 103,627.20 = 41,560 : x
  2. Step 2: Convert to fraction form
    75,097.60/103,627.20 = 41,560/x
  3. Step 3: Cross multiply
    75,097.60x = 103,627.20 × 41,560
  4. Step 4: Simplify right side
    75,097.60x = 4,306,746,432
  5. Step 5: Solve for x
    x = 4,306,746,432/75,097.60
  6. Step 6: Final answer
    x = 57,348.66

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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.