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Finding the Fourth Proportional to 86,093.16, 129,141.03 and 32,788.08

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Solution

The fourth proportional to 86,093.16, 129,141.03 and 32,788.08 is: 49,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,093.16 : 129,141.03 = 32,788.08 : x
  2. Step 2: Convert to fraction form
    86,093.16/129,141.03 = 32,788.08/x
  3. Step 3: Cross multiply
    86,093.16x = 129,141.03 × 32,788.08
  4. Step 4: Simplify right side
    86,093.16x = 4,234,286,625.33
  5. Step 5: Solve for x
    x = 4,234,286,625.33/86,093.16
  6. Step 6: Final answer
    x = 49,182.62

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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.