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Finding the Fourth Proportional to 97,957.38, 135,191.80 and 57,680.94

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Solution

The fourth proportional to 97,957.38, 135,191.80 and 57,680.94 is: 79,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,957.38 : 135,191.80 = 57,680.94 : x
  2. Step 2: Convert to fraction form
    97,957.38/135,191.80 = 57,680.94/x
  3. Step 3: Cross multiply
    97,957.38x = 135,191.80 × 57,680.94
  4. Step 4: Simplify right side
    97,957.38x = 7,797,990,104.29
  5. Step 5: Solve for x
    x = 7,797,990,104.29/97,957.38
  6. Step 6: Final answer
    x = 79,605.95

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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.