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Finding the Fourth Proportional to 70,167.65, 105,177.96 and 32,696.82

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Solution

The fourth proportional to 70,167.65, 105,177.96 and 32,696.82 is: 49,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,167.65 : 105,177.96 = 32,696.82 : x
  2. Step 2: Convert to fraction form
    70,167.65/105,177.96 = 32,696.82/x
  3. Step 3: Cross multiply
    70,167.65x = 105,177.96 × 32,696.82
  4. Step 4: Simplify right side
    70,167.65x = 3,438,984,826.09
  5. Step 5: Solve for x
    x = 3,438,984,826.09/70,167.65
  6. Step 6: Final answer
    x = 49,010.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.