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Finding the Fourth Proportional to 30,332.40, 41,998.68 and 27,999.60

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Solution

The fourth proportional to 30,332.40, 41,998.68 and 27,999.60 is: 38,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332.40 : 41,998.68 = 27,999.60 : x
  2. Step 2: Convert to fraction form
    30,332.40/41,998.68 = 27,999.60/x
  3. Step 3: Cross multiply
    30,332.40x = 41,998.68 × 27,999.60
  4. Step 4: Simplify right side
    30,332.40x = 1,175,946,240.53
  5. Step 5: Solve for x
    x = 1,175,946,240.53/30,332.40
  6. Step 6: Final answer
    x = 38,768.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.