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Finding the Fourth Proportional to 32,708.34, 49,062.71 and 11,649.21

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Solution

The fourth proportional to 32,708.34, 49,062.71 and 11,649.21 is: 17,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,708.34 : 49,062.71 = 11,649.21 : x
  2. Step 2: Convert to fraction form
    32,708.34/49,062.71 = 11,649.21/x
  3. Step 3: Cross multiply
    32,708.34x = 49,062.71 × 11,649.21
  4. Step 4: Simplify right side
    32,708.34x = 571,541,811.96
  5. Step 5: Solve for x
    x = 571,541,811.96/32,708.34
  6. Step 6: Final answer
    x = 17,473.89

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