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Finding the Fourth Proportional to 86,011.50, 128,984.07 and 33,414.06

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Solution

The fourth proportional to 86,011.50, 128,984.07 and 33,414.06 is: 50,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,011.50 : 128,984.07 = 33,414.06 : x
  2. Step 2: Convert to fraction form
    86,011.50/128,984.07 = 33,414.06/x
  3. Step 3: Cross multiply
    86,011.50x = 128,984.07 × 33,414.06
  4. Step 4: Simplify right side
    86,011.50x = 4,309,881,454.02
  5. Step 5: Solve for x
    x = 4,309,881,454.02/86,011.50
  6. Step 6: Final answer
    x = 50,108.20

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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.