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Finding the Fourth Proportional to 70,675.82, 97,538.20 and 40,470.65

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Solution

The fourth proportional to 70,675.82, 97,538.20 and 40,470.65 is: 55,852.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,675.82 : 97,538.20 = 40,470.65 : x
  2. Step 2: Convert to fraction form
    70,675.82/97,538.20 = 40,470.65/x
  3. Step 3: Cross multiply
    70,675.82x = 97,538.20 × 40,470.65
  4. Step 4: Simplify right side
    70,675.82x = 3,947,433,764.96
  5. Step 5: Solve for x
    x = 3,947,433,764.96/70,675.82
  6. Step 6: Final answer
    x = 55,852.68

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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.