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Finding the Fourth Proportional to 78,394.10, 108,184.42 and 42,584.12

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Solution

The fourth proportional to 78,394.10, 108,184.42 and 42,584.12 is: 58,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.10 : 108,184.42 = 42,584.12 : x
  2. Step 2: Convert to fraction form
    78,394.10/108,184.42 = 42,584.12/x
  3. Step 3: Cross multiply
    78,394.10x = 108,184.42 × 42,584.12
  4. Step 4: Simplify right side
    78,394.10x = 4,606,938,323.41
  5. Step 5: Solve for x
    x = 4,606,938,323.41/78,394.10
  6. Step 6: Final answer
    x = 58,766.39

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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.