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Finding the Fourth Proportional to 86,580.12, 129,875.12 and 24,255.48

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Solution

The fourth proportional to 86,580.12, 129,875.12 and 24,255.48 is: 36,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580.12 : 129,875.12 = 24,255.48 : x
  2. Step 2: Convert to fraction form
    86,580.12/129,875.12 = 24,255.48/x
  3. Step 3: Cross multiply
    86,580.12x = 129,875.12 × 24,255.48
  4. Step 4: Simplify right side
    86,580.12x = 3,150,183,375.66
  5. Step 5: Solve for x
    x = 3,150,183,375.66/86,580.12
  6. Step 6: Final answer
    x = 36,384.60

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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.