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Finding the Fourth Proportional to 86,434.75, 129,674 and 24,105.25

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Solution

The fourth proportional to 86,434.75, 129,674 and 24,105.25 is: 36,163.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,434.75 : 129,674 = 24,105.25 : x
  2. Step 2: Convert to fraction form
    86,434.75/129,674 = 24,105.25/x
  3. Step 3: Cross multiply
    86,434.75x = 129,674 × 24,105.25
  4. Step 4: Simplify right side
    86,434.75x = 3,125,824,188.50
  5. Step 5: Solve for x
    x = 3,125,824,188.50/86,434.75
  6. Step 6: Final answer
    x = 36,163.98

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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.