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Finding the Fourth Proportional to 68,875.31, 103,312.97 and 27,322.31

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Solution

The fourth proportional to 68,875.31, 103,312.97 and 27,322.31 is: 40,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,875.31 : 103,312.97 = 27,322.31 : x
  2. Step 2: Convert to fraction form
    68,875.31/103,312.97 = 27,322.31/x
  3. Step 3: Cross multiply
    68,875.31x = 103,312.97 × 27,322.31
  4. Step 4: Simplify right side
    68,875.31x = 2,822,749,217.49
  5. Step 5: Solve for x
    x = 2,822,749,217.49/68,875.31
  6. Step 6: Final answer
    x = 40,983.47

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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.