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Finding the Fourth Proportional to 34,031.95, 51,013.10 and 33,178.21

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Solution

The fourth proportional to 34,031.95, 51,013.10 and 33,178.21 is: 49,733.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,031.95 : 51,013.10 = 33,178.21 : x
  2. Step 2: Convert to fraction form
    34,031.95/51,013.10 = 33,178.21/x
  3. Step 3: Cross multiply
    34,031.95x = 51,013.10 × 33,178.21
  4. Step 4: Simplify right side
    34,031.95x = 1,692,523,178.66
  5. Step 5: Solve for x
    x = 1,692,523,178.66/34,031.95
  6. Step 6: Final answer
    x = 49,733.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.