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Finding the Fourth Proportional to 38,326.50, 57,490.27 and 12,031.25

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Solution

The fourth proportional to 38,326.50, 57,490.27 and 12,031.25 is: 18,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,326.50 : 57,490.27 = 12,031.25 : x
  2. Step 2: Convert to fraction form
    38,326.50/57,490.27 = 12,031.25/x
  3. Step 3: Cross multiply
    38,326.50x = 57,490.27 × 12,031.25
  4. Step 4: Simplify right side
    38,326.50x = 691,679,493.41
  5. Step 5: Solve for x
    x = 691,679,493.41/38,326.50
  6. Step 6: Final answer
    x = 18,047.03

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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.