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Finding the Fourth Proportional to 68,031.04, 102,057.12 and 34,733.04

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Solution

The fourth proportional to 68,031.04, 102,057.12 and 34,733.04 is: 52,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,031.04 : 102,057.12 = 34,733.04 : x
  2. Step 2: Convert to fraction form
    68,031.04/102,057.12 = 34,733.04/x
  3. Step 3: Cross multiply
    68,031.04x = 102,057.12 × 34,733.04
  4. Step 4: Simplify right side
    68,031.04x = 3,544,754,031.24
  5. Step 5: Solve for x
    x = 3,544,754,031.24/68,031.04
  6. Step 6: Final answer
    x = 52,104.95

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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.