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Finding the Fourth Proportional to 32,856.30, 49,279.05 and 9,165.47

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Solution

The fourth proportional to 32,856.30, 49,279.05 and 9,165.47 is: 13,746.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,856.30 : 49,279.05 = 9,165.47 : x
  2. Step 2: Convert to fraction form
    32,856.30/49,279.05 = 9,165.47/x
  3. Step 3: Cross multiply
    32,856.30x = 49,279.05 × 9,165.47
  4. Step 4: Simplify right side
    32,856.30x = 451,665,408.01
  5. Step 5: Solve for x
    x = 451,665,408.01/32,856.30
  6. Step 6: Final answer
    x = 13,746.69

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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.