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Finding the Fourth Proportional to 86,435, 129,674.38 and 24,105.50

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Solution

The fourth proportional to 86,435, 129,674.38 and 24,105.50 is: 36,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,435 : 129,674.38 = 24,105.50 : x
  2. Step 2: Convert to fraction form
    86,435/129,674.38 = 24,105.50/x
  3. Step 3: Cross multiply
    86,435x = 129,674.38 × 24,105.50
  4. Step 4: Simplify right side
    86,435x = 3,125,865,767.09
  5. Step 5: Solve for x
    x = 3,125,865,767.09/86,435
  6. Step 6: Final answer
    x = 36,164.35

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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.