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Finding the Fourth Proportional to 54,866.78, 75,718.75 and 32,206.76

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Solution

The fourth proportional to 54,866.78, 75,718.75 and 32,206.76 is: 44,446.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,866.78 : 75,718.75 = 32,206.76 : x
  2. Step 2: Convert to fraction form
    54,866.78/75,718.75 = 32,206.76/x
  3. Step 3: Cross multiply
    54,866.78x = 75,718.75 × 32,206.76
  4. Step 4: Simplify right side
    54,866.78x = 2,438,655,608.75
  5. Step 5: Solve for x
    x = 2,438,655,608.75/54,866.78
  6. Step 6: Final answer
    x = 44,446.85

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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.