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Finding the Fourth Proportional to 78,467.68, 108,283.10 and 44,479.30

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Solution

The fourth proportional to 78,467.68, 108,283.10 and 44,479.30 is: 61,380.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,467.68 : 108,283.10 = 44,479.30 : x
  2. Step 2: Convert to fraction form
    78,467.68/108,283.10 = 44,479.30/x
  3. Step 3: Cross multiply
    78,467.68x = 108,283.10 × 44,479.30
  4. Step 4: Simplify right side
    78,467.68x = 4,816,356,489.83
  5. Step 5: Solve for x
    x = 4,816,356,489.83/78,467.68
  6. Step 6: Final answer
    x = 61,380.13

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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.