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Finding the Fourth Proportional to 32,770.41, 49,150.14 and 9,391.38

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Solution

The fourth proportional to 32,770.41, 49,150.14 and 9,391.38 is: 14,085.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.41 : 49,150.14 = 9,391.38 : x
  2. Step 2: Convert to fraction form
    32,770.41/49,150.14 = 9,391.38/x
  3. Step 3: Cross multiply
    32,770.41x = 49,150.14 × 9,391.38
  4. Step 4: Simplify right side
    32,770.41x = 461,587,641.79
  5. Step 5: Solve for x
    x = 461,587,641.79/32,770.41
  6. Step 6: Final answer
    x = 14,085.50

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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.