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Finding the Fourth Proportional to 32,964.33, 49,442.86 and 9,272.62

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Solution

The fourth proportional to 32,964.33, 49,442.86 and 9,272.62 is: 13,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.33 : 49,442.86 = 9,272.62 : x
  2. Step 2: Convert to fraction form
    32,964.33/49,442.86 = 9,272.62/x
  3. Step 3: Cross multiply
    32,964.33x = 49,442.86 × 9,272.62
  4. Step 4: Simplify right side
    32,964.33x = 458,465,024.74
  5. Step 5: Solve for x
    x = 458,465,024.74/32,964.33
  6. Step 6: Final answer
    x = 13,907.91

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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.