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Finding the Fourth Proportional to 52,367.04, 78,444 and 41,854.68

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Solution

The fourth proportional to 52,367.04, 78,444 and 41,854.68 is: 62,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,367.04 : 78,444 = 41,854.68 : x
  2. Step 2: Convert to fraction form
    52,367.04/78,444 = 41,854.68/x
  3. Step 3: Cross multiply
    52,367.04x = 78,444 × 41,854.68
  4. Step 4: Simplify right side
    52,367.04x = 3,283,248,517.92
  5. Step 5: Solve for x
    x = 3,283,248,517.92/52,367.04
  6. Step 6: Final answer
    x = 62,696.85

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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.