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Finding the Fourth Proportional to 82,573.68, 113,947.92 and 46,278.24

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Solution

The fourth proportional to 82,573.68, 113,947.92 and 46,278.24 is: 63,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,573.68 : 113,947.92 = 46,278.24 : x
  2. Step 2: Convert to fraction form
    82,573.68/113,947.92 = 46,278.24/x
  3. Step 3: Cross multiply
    82,573.68x = 113,947.92 × 46,278.24
  4. Step 4: Simplify right side
    82,573.68x = 5,273,309,189.26
  5. Step 5: Solve for x
    x = 5,273,309,189.26/82,573.68
  6. Step 6: Final answer
    x = 63,861.86

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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.