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Finding the Fourth Proportional to 32,967.52, 49,447.63 and 9,275.82

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Solution

The fourth proportional to 32,967.52, 49,447.63 and 9,275.82 is: 13,912.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,967.52 : 49,447.63 = 9,275.82 : x
  2. Step 2: Convert to fraction form
    32,967.52/49,447.63 = 9,275.82/x
  3. Step 3: Cross multiply
    32,967.52x = 49,447.63 × 9,275.82
  4. Step 4: Simplify right side
    32,967.52x = 458,667,315.31
  5. Step 5: Solve for x
    x = 458,667,315.31/32,967.52
  6. Step 6: Final answer
    x = 13,912.70

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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.