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Finding the Fourth Proportional to 32,609.71, 48,936.49 and 11,549.68

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Solution

The fourth proportional to 32,609.71, 48,936.49 and 11,549.68 is: 17,332.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.71 : 48,936.49 = 11,549.68 : x
  2. Step 2: Convert to fraction form
    32,609.71/48,936.49 = 11,549.68/x
  3. Step 3: Cross multiply
    32,609.71x = 48,936.49 × 11,549.68
  4. Step 4: Simplify right side
    32,609.71x = 565,200,648.61
  5. Step 5: Solve for x
    x = 565,200,648.61/32,609.71
  6. Step 6: Final answer
    x = 17,332.28

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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.