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Finding the Fourth Proportional to 32,998.41, 49,493.22 and 9,307.86

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Solution

The fourth proportional to 32,998.41, 49,493.22 and 9,307.86 is: 13,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,998.41 : 49,493.22 = 9,307.86 : x
  2. Step 2: Convert to fraction form
    32,998.41/49,493.22 = 9,307.86/x
  3. Step 3: Cross multiply
    32,998.41x = 49,493.22 × 9,307.86
  4. Step 4: Simplify right side
    32,998.41x = 460,676,046.78
  5. Step 5: Solve for x
    x = 460,676,046.78/32,998.41
  6. Step 6: Final answer
    x = 13,960.55

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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.