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Finding the Fourth Proportional to 30,152.52, 41,610.84 and 17,577

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Solution

The fourth proportional to 30,152.52, 41,610.84 and 17,577 is: 24,256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.52 : 41,610.84 = 17,577 : x
  2. Step 2: Convert to fraction form
    30,152.52/41,610.84 = 17,577/x
  3. Step 3: Cross multiply
    30,152.52x = 41,610.84 × 17,577
  4. Step 4: Simplify right side
    30,152.52x = 731,393,734.68
  5. Step 5: Solve for x
    x = 731,393,734.68/30,152.52
  6. Step 6: Final answer
    x = 24,256.47

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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.