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Finding the Fourth Proportional to 32,924.71, 49,378.26 and 9,230.95

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Solution

The fourth proportional to 32,924.71, 49,378.26 and 9,230.95 is: 13,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.71 : 49,378.26 = 9,230.95 : x
  2. Step 2: Convert to fraction form
    32,924.71/49,378.26 = 9,230.95/x
  3. Step 3: Cross multiply
    32,924.71x = 49,378.26 × 9,230.95
  4. Step 4: Simplify right side
    32,924.71x = 455,808,249.15
  5. Step 5: Solve for x
    x = 455,808,249.15/32,924.71
  6. Step 6: Final answer
    x = 13,843.96

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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.