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Finding the Fourth Proportional to 32,856.49, 45,294.74 and 23,408.65

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Solution

The fourth proportional to 32,856.49, 45,294.74 and 23,408.65 is: 32,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.49 : 45,294.74 = 23,408.65 : x
  2. Step 2: Convert to fraction form
    32,856.49/45,294.74 = 23,408.65/x
  3. Step 3: Cross multiply
    32,856.49x = 45,294.74 × 23,408.65
  4. Step 4: Simplify right side
    32,856.49x = 1,060,288,619.75
  5. Step 5: Solve for x
    x = 1,060,288,619.75/32,856.49
  6. Step 6: Final answer
    x = 32,270.30

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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.