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Finding the Fourth Proportional to 30,876.46, 42,610.98 and 17,448.28

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Solution

The fourth proportional to 30,876.46, 42,610.98 and 17,448.28 is: 24,079.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876.46 : 42,610.98 = 17,448.28 : x
  2. Step 2: Convert to fraction form
    30,876.46/42,610.98 = 17,448.28/x
  3. Step 3: Cross multiply
    30,876.46x = 42,610.98 × 17,448.28
  4. Step 4: Simplify right side
    30,876.46x = 743,488,310.11
  5. Step 5: Solve for x
    x = 743,488,310.11/30,876.46
  6. Step 6: Final answer
    x = 24,079.45

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