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Finding the Fourth Proportional to 86,184.84, 129,278.88 and 27,019.20

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Solution

The fourth proportional to 86,184.84, 129,278.88 and 27,019.20 is: 40,529.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,184.84 : 129,278.88 = 27,019.20 : x
  2. Step 2: Convert to fraction form
    86,184.84/129,278.88 = 27,019.20/x
  3. Step 3: Cross multiply
    86,184.84x = 129,278.88 × 27,019.20
  4. Step 4: Simplify right side
    86,184.84x = 3,493,011,914.50
  5. Step 5: Solve for x
    x = 3,493,011,914.50/86,184.84
  6. Step 6: Final answer
    x = 40,529.31

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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.