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Finding the Fourth Proportional to 38,462.40, 52,999.38 and 28,374.90

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Solution

The fourth proportional to 38,462.40, 52,999.38 and 28,374.90 is: 39,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,462.40 : 52,999.38 = 28,374.90 : x
  2. Step 2: Convert to fraction form
    38,462.40/52,999.38 = 28,374.90/x
  3. Step 3: Cross multiply
    38,462.40x = 52,999.38 × 28,374.90
  4. Step 4: Simplify right side
    38,462.40x = 1,503,852,107.56
  5. Step 5: Solve for x
    x = 1,503,852,107.56/38,462.40
  6. Step 6: Final answer
    x = 39,099.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.