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Finding the Fourth Proportional to 57,674.80, 86,512.20 and 31,430.80

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Solution

The fourth proportional to 57,674.80, 86,512.20 and 31,430.80 is: 47,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,674.80 : 86,512.20 = 31,430.80 : x
  2. Step 2: Convert to fraction form
    57,674.80/86,512.20 = 31,430.80/x
  3. Step 3: Cross multiply
    57,674.80x = 86,512.20 × 31,430.80
  4. Step 4: Simplify right side
    57,674.80x = 2,719,147,655.76
  5. Step 5: Solve for x
    x = 2,719,147,655.76/57,674.80
  6. Step 6: Final answer
    x = 47,146.20

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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.