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Finding the Fourth Proportional to 78,494.47, 108,323.33 and 42,685.38

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Solution

The fourth proportional to 78,494.47, 108,323.33 and 42,685.38 is: 58,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,494.47 : 108,323.33 = 42,685.38 : x
  2. Step 2: Convert to fraction form
    78,494.47/108,323.33 = 42,685.38/x
  3. Step 3: Cross multiply
    78,494.47x = 108,323.33 × 42,685.38
  4. Step 4: Simplify right side
    78,494.47x = 4,623,822,290.49
  5. Step 5: Solve for x
    x = 4,623,822,290.49/78,494.47
  6. Step 6: Final answer
    x = 58,906.35

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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.