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Finding the Fourth Proportional to 78,616.12, 108,490.38 and 42,806.28

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Solution

The fourth proportional to 78,616.12, 108,490.38 and 42,806.28 is: 59,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,616.12 : 108,490.38 = 42,806.28 : x
  2. Step 2: Convert to fraction form
    78,616.12/108,490.38 = 42,806.28/x
  3. Step 3: Cross multiply
    78,616.12x = 108,490.38 × 42,806.28
  4. Step 4: Simplify right side
    78,616.12x = 4,644,069,369.56
  5. Step 5: Solve for x
    x = 4,644,069,369.56/78,616.12
  6. Step 6: Final answer
    x = 59,072.74

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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.