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Finding the Fourth Proportional to 86,429, 129,665.38 and 24,099.50

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Solution

The fourth proportional to 86,429, 129,665.38 and 24,099.50 is: 36,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,429 : 129,665.38 = 24,099.50 : x
  2. Step 2: Convert to fraction form
    86,429/129,665.38 = 24,099.50/x
  3. Step 3: Cross multiply
    86,429x = 129,665.38 × 24,099.50
  4. Step 4: Simplify right side
    86,429x = 3,124,870,825.31
  5. Step 5: Solve for x
    x = 3,124,870,825.31/86,429
  6. Step 6: Final answer
    x = 36,155.35

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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.