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Finding the Fourth Proportional to 57,498.80, 86,069.82 and 31,138.16

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Solution

The fourth proportional to 57,498.80, 86,069.82 and 31,138.16 is: 46,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,498.80 : 86,069.82 = 31,138.16 : x
  2. Step 2: Convert to fraction form
    57,498.80/86,069.82 = 31,138.16/x
  3. Step 3: Cross multiply
    57,498.80x = 86,069.82 × 31,138.16
  4. Step 4: Simplify right side
    57,498.80x = 2,680,055,826.33
  5. Step 5: Solve for x
    x = 2,680,055,826.33/57,498.80
  6. Step 6: Final answer
    x = 46,610.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.