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Finding the Fourth Proportional to 86,002.92, 129,012.53 and 33,416.46

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Solution

The fourth proportional to 86,002.92, 129,012.53 and 33,416.46 is: 50,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,002.92 : 129,012.53 = 33,416.46 : x
  2. Step 2: Convert to fraction form
    86,002.92/129,012.53 = 33,416.46/x
  3. Step 3: Cross multiply
    86,002.92x = 129,012.53 × 33,416.46
  4. Step 4: Simplify right side
    86,002.92x = 4,311,141,881.16
  5. Step 5: Solve for x
    x = 4,311,141,881.16/86,002.92
  6. Step 6: Final answer
    x = 50,127.85

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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.