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Finding the Fourth Proportional to 57,693.40, 86,540.10 and 31,384.60

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Solution

The fourth proportional to 57,693.40, 86,540.10 and 31,384.60 is: 47,076.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,693.40 : 86,540.10 = 31,384.60 : x
  2. Step 2: Convert to fraction form
    57,693.40/86,540.10 = 31,384.60/x
  3. Step 3: Cross multiply
    57,693.40x = 86,540.10 × 31,384.60
  4. Step 4: Simplify right side
    57,693.40x = 2,716,026,422.46
  5. Step 5: Solve for x
    x = 2,716,026,422.46/57,693.40
  6. Step 6: Final answer
    x = 47,076.90

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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.