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Finding the Fourth Proportional to 86,495.32, 129,764.58 and 24,165.28

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Solution

The fourth proportional to 86,495.32, 129,764.58 and 24,165.28 is: 36,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,495.32 : 129,764.58 = 24,165.28 : x
  2. Step 2: Convert to fraction form
    86,495.32/129,764.58 = 24,165.28/x
  3. Step 3: Cross multiply
    86,495.32x = 129,764.58 × 24,165.28
  4. Step 4: Simplify right side
    86,495.32x = 3,135,797,617.30
  5. Step 5: Solve for x
    x = 3,135,797,617.30/86,495.32
  6. Step 6: Final answer
    x = 36,253.96

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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.