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Finding the Fourth Proportional to 38,508.04, 57,750.30 and 16,321

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Solution

The fourth proportional to 38,508.04, 57,750.30 and 16,321 is: 24,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,508.04 : 57,750.30 = 16,321 : x
  2. Step 2: Convert to fraction form
    38,508.04/57,750.30 = 16,321/x
  3. Step 3: Cross multiply
    38,508.04x = 57,750.30 × 16,321
  4. Step 4: Simplify right side
    38,508.04x = 942,542,646.30
  5. Step 5: Solve for x
    x = 942,542,646.30/38,508.04
  6. Step 6: Final answer
    x = 24,476.52

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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.