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Finding the Fourth Proportional to 39,646.80, 54,671.76 and 27,705.78

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Solution

The fourth proportional to 39,646.80, 54,671.76 and 27,705.78 is: 38,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.80 : 54,671.76 = 27,705.78 : x
  2. Step 2: Convert to fraction form
    39,646.80/54,671.76 = 27,705.78/x
  3. Step 3: Cross multiply
    39,646.80x = 54,671.76 × 27,705.78
  4. Step 4: Simplify right side
    39,646.80x = 1,514,723,754.77
  5. Step 5: Solve for x
    x = 1,514,723,754.77/39,646.80
  6. Step 6: Final answer
    x = 38,205.45

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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.