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Finding the Fourth Proportional to 32,763.39, 49,152.37 and 9,388

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Solution

The fourth proportional to 32,763.39, 49,152.37 and 9,388 is: 14,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,763.39 : 49,152.37 = 9,388 : x
  2. Step 2: Convert to fraction form
    32,763.39/49,152.37 = 9,388/x
  3. Step 3: Cross multiply
    32,763.39x = 49,152.37 × 9,388
  4. Step 4: Simplify right side
    32,763.39x = 461,442,449.56
  5. Step 5: Solve for x
    x = 461,442,449.56/32,763.39
  6. Step 6: Final answer
    x = 14,084.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.