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Finding the Fourth Proportional to 54,703.80, 75,462.30 and 37,678.76

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Solution

The fourth proportional to 54,703.80, 75,462.30 and 37,678.76 is: 51,976.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,703.80 : 75,462.30 = 37,678.76 : x
  2. Step 2: Convert to fraction form
    54,703.80/75,462.30 = 37,678.76/x
  3. Step 3: Cross multiply
    54,703.80x = 75,462.30 × 37,678.76
  4. Step 4: Simplify right side
    54,703.80x = 2,843,325,513.44
  5. Step 5: Solve for x
    x = 2,843,325,513.44/54,703.80
  6. Step 6: Final answer
    x = 51,976.75

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1.5x scale

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.