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Finding the Fourth Proportional to 78,506.55, 108,338.13 and 42,695.78

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Solution

The fourth proportional to 78,506.55, 108,338.13 and 42,695.78 is: 58,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,506.55 : 108,338.13 = 42,695.78 : x
  2. Step 2: Convert to fraction form
    78,506.55/108,338.13 = 42,695.78/x
  3. Step 3: Cross multiply
    78,506.55x = 108,338.13 × 42,695.78
  4. Step 4: Simplify right side
    78,506.55x = 4,625,580,422.40
  5. Step 5: Solve for x
    x = 4,625,580,422.40/78,506.55
  6. Step 6: Final answer
    x = 58,919.68

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1.5x scale

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.