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Finding the Fourth Proportional to 38,675, 58,012.55 and 10,595.30

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Solution

The fourth proportional to 38,675, 58,012.55 and 10,595.30 is: 15,892.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,675 : 58,012.55 = 10,595.30 : x
  2. Step 2: Convert to fraction form
    38,675/58,012.55 = 10,595.30/x
  3. Step 3: Cross multiply
    38,675x = 58,012.55 × 10,595.30
  4. Step 4: Simplify right side
    38,675x = 614,660,371.02
  5. Step 5: Solve for x
    x = 614,660,371.02/38,675
  6. Step 6: Final answer
    x = 15,892.96

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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.