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Finding the Fourth Proportional to 32,924.78, 49,378.38 and 9,230.90

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Solution

The fourth proportional to 32,924.78, 49,378.38 and 9,230.90 is: 13,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.78 : 49,378.38 = 9,230.90 : x
  2. Step 2: Convert to fraction form
    32,924.78/49,378.38 = 9,230.90/x
  3. Step 3: Cross multiply
    32,924.78x = 49,378.38 × 9,230.90
  4. Step 4: Simplify right side
    32,924.78x = 455,806,887.94
  5. Step 5: Solve for x
    x = 455,806,887.94/32,924.78
  6. Step 6: Final answer
    x = 13,843.89

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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.