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Finding the Fourth Proportional to 28,744.32, 43,118.88 and 7,967.88

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Solution

The fourth proportional to 28,744.32, 43,118.88 and 7,967.88 is: 11,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,744.32 : 43,118.88 = 7,967.88 : x
  2. Step 2: Convert to fraction form
    28,744.32/43,118.88 = 7,967.88/x
  3. Step 3: Cross multiply
    28,744.32x = 43,118.88 × 7,967.88
  4. Step 4: Simplify right side
    28,744.32x = 343,566,061.57
  5. Step 5: Solve for x
    x = 343,566,061.57/28,744.32
  6. Step 6: Final answer
    x = 11,952.49

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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.