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Finding the Fourth Proportional to 86,193, 129,226.14 and 32,875.56

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Solution

The fourth proportional to 86,193, 129,226.14 and 32,875.56 is: 49,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,193 : 129,226.14 = 32,875.56 : x
  2. Step 2: Convert to fraction form
    86,193/129,226.14 = 32,875.56/x
  3. Step 3: Cross multiply
    86,193x = 129,226.14 × 32,875.56
  4. Step 4: Simplify right side
    86,193x = 4,248,381,719.14
  5. Step 5: Solve for x
    x = 4,248,381,719.14/86,193
  6. Step 6: Final answer
    x = 49,289.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.