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Finding the Fourth Proportional to 38,247.90, 57,114.32 and 31,241.90

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Solution

The fourth proportional to 38,247.90, 57,114.32 and 31,241.90 is: 46,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,247.90 : 57,114.32 = 31,241.90 : x
  2. Step 2: Convert to fraction form
    38,247.90/57,114.32 = 31,241.90/x
  3. Step 3: Cross multiply
    38,247.90x = 57,114.32 × 31,241.90
  4. Step 4: Simplify right side
    38,247.90x = 1,784,359,860.58
  5. Step 5: Solve for x
    x = 1,784,359,860.58/38,247.90
  6. Step 6: Final answer
    x = 46,652.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.