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Finding the Fourth Proportional to 78,284.52, 108,029.22 and 44,752.68

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Solution

The fourth proportional to 78,284.52, 108,029.22 and 44,752.68 is: 61,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,284.52 : 108,029.22 = 44,752.68 : x
  2. Step 2: Convert to fraction form
    78,284.52/108,029.22 = 44,752.68/x
  3. Step 3: Cross multiply
    78,284.52x = 108,029.22 × 44,752.68
  4. Step 4: Simplify right side
    78,284.52x = 4,834,597,113.31
  5. Step 5: Solve for x
    x = 4,834,597,113.31/78,284.52
  6. Step 6: Final answer
    x = 61,756.74

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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.