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Finding the Fourth Proportional to 48,700.48, 67,209.68 and 27,472

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Solution

The fourth proportional to 48,700.48, 67,209.68 and 27,472 is: 37,913.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,700.48 : 67,209.68 = 27,472 : x
  2. Step 2: Convert to fraction form
    48,700.48/67,209.68 = 27,472/x
  3. Step 3: Cross multiply
    48,700.48x = 67,209.68 × 27,472
  4. Step 4: Simplify right side
    48,700.48x = 1,846,384,328.96
  5. Step 5: Solve for x
    x = 1,846,384,328.96/48,700.48
  6. Step 6: Final answer
    x = 37,913.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.