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Finding the Fourth Proportional to 32,856.14, 45,341.49 and 17,952.14

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Solution

The fourth proportional to 32,856.14, 45,341.49 and 17,952.14 is: 24,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.14 : 45,341.49 = 17,952.14 : x
  2. Step 2: Convert to fraction form
    32,856.14/45,341.49 = 17,952.14/x
  3. Step 3: Cross multiply
    32,856.14x = 45,341.49 × 17,952.14
  4. Step 4: Simplify right side
    32,856.14x = 813,976,776.29
  5. Step 5: Solve for x
    x = 813,976,776.29/32,856.14
  6. Step 6: Final answer
    x = 24,773.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.