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Finding the Fourth Proportional to 57,952.31, 86,967.42 and 20,512.24

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Solution

The fourth proportional to 57,952.31, 86,967.42 and 20,512.24 is: 30,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,952.31 : 86,967.42 = 20,512.24 : x
  2. Step 2: Convert to fraction form
    57,952.31/86,967.42 = 20,512.24/x
  3. Step 3: Cross multiply
    57,952.31x = 86,967.42 × 20,512.24
  4. Step 4: Simplify right side
    57,952.31x = 1,783,896,412.26
  5. Step 5: Solve for x
    x = 1,783,896,412.26/57,952.31
  6. Step 6: Final answer
    x = 30,782.14

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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.