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Finding the Fourth Proportional to 86,225.31, 129,343.43 and 27,063.32

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Solution

The fourth proportional to 86,225.31, 129,343.43 and 27,063.32 is: 40,596.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,225.31 : 129,343.43 = 27,063.32 : x
  2. Step 2: Convert to fraction form
    86,225.31/129,343.43 = 27,063.32/x
  3. Step 3: Cross multiply
    86,225.31x = 129,343.43 × 27,063.32
  4. Step 4: Simplify right side
    86,225.31x = 3,500,462,056.93
  5. Step 5: Solve for x
    x = 3,500,462,056.93/86,225.31
  6. Step 6: Final answer
    x = 40,596.69

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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.