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Finding the Fourth Proportional to 78,466, 108,284.16 and 44,932

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Solution

The fourth proportional to 78,466, 108,284.16 and 44,932 is: 62,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466 : 108,284.16 = 44,932 : x
  2. Step 2: Convert to fraction form
    78,466/108,284.16 = 44,932/x
  3. Step 3: Cross multiply
    78,466x = 108,284.16 × 44,932
  4. Step 4: Simplify right side
    78,466x = 4,865,423,877.12
  5. Step 5: Solve for x
    x = 4,865,423,877.12/78,466
  6. Step 6: Final answer
    x = 62,006.78

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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.