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Finding the Fourth Proportional to 32,924.57, 49,369.16 and 10,431.12

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Solution

The fourth proportional to 32,924.57, 49,369.16 and 10,431.12 is: 15,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,924.57 : 49,369.16 = 10,431.12 : x
  2. Step 2: Convert to fraction form
    32,924.57/49,369.16 = 10,431.12/x
  3. Step 3: Cross multiply
    32,924.57x = 49,369.16 × 10,431.12
  4. Step 4: Simplify right side
    32,924.57x = 514,975,632.26
  5. Step 5: Solve for x
    x = 514,975,632.26/32,924.57
  6. Step 6: Final answer
    x = 15,641.07

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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.