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Finding the Fourth Proportional to 68,031.40, 102,048.15 and 25,913.83

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Solution

The fourth proportional to 68,031.40, 102,048.15 and 25,913.83 is: 38,871.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,031.40 : 102,048.15 = 25,913.83 : x
  2. Step 2: Convert to fraction form
    68,031.40/102,048.15 = 25,913.83/x
  3. Step 3: Cross multiply
    68,031.40x = 102,048.15 × 25,913.83
  4. Step 4: Simplify right side
    68,031.40x = 2,644,458,410.91
  5. Step 5: Solve for x
    x = 2,644,458,410.91/68,031.40
  6. Step 6: Final answer
    x = 38,871.14

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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.