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Finding the Fourth Proportional to 32,922.78, 49,375.38 and 9,228.90

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Solution

The fourth proportional to 32,922.78, 49,375.38 and 9,228.90 is: 13,840.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,922.78 : 49,375.38 = 9,228.90 : x
  2. Step 2: Convert to fraction form
    32,922.78/49,375.38 = 9,228.90/x
  3. Step 3: Cross multiply
    32,922.78x = 49,375.38 × 9,228.90
  4. Step 4: Simplify right side
    32,922.78x = 455,680,444.48
  5. Step 5: Solve for x
    x = 455,680,444.48/32,922.78
  6. Step 6: Final answer
    x = 13,840.89

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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.