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Finding the Fourth Proportional to 32,564.98, 48,853.32 and 11,517.22

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Solution

The fourth proportional to 32,564.98, 48,853.32 and 11,517.22 is: 17,277.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,564.98 : 48,853.32 = 11,517.22 : x
  2. Step 2: Convert to fraction form
    32,564.98/48,853.32 = 11,517.22/x
  3. Step 3: Cross multiply
    32,564.98x = 48,853.32 × 11,517.22
  4. Step 4: Simplify right side
    32,564.98x = 562,654,434.17
  5. Step 5: Solve for x
    x = 562,654,434.17/32,564.98
  6. Step 6: Final answer
    x = 17,277.90

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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.