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Finding the Fourth Proportional to 67,830.65, 101,732.12 and 25,696.21

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Solution

The fourth proportional to 67,830.65, 101,732.12 and 25,696.21 is: 38,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.65 : 101,732.12 = 25,696.21 : x
  2. Step 2: Convert to fraction form
    67,830.65/101,732.12 = 25,696.21/x
  3. Step 3: Cross multiply
    67,830.65x = 101,732.12 × 25,696.21
  4. Step 4: Simplify right side
    67,830.65x = 2,614,129,536.45
  5. Step 5: Solve for x
    x = 2,614,129,536.45/67,830.65
  6. Step 6: Final answer
    x = 38,539.06

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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.