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Finding the Fourth Proportional to 38,475.36, 57,726 and 18,750.24

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Solution

The fourth proportional to 38,475.36, 57,726 and 18,750.24 is: 28,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,475.36 : 57,726 = 18,750.24 : x
  2. Step 2: Convert to fraction form
    38,475.36/57,726 = 18,750.24/x
  3. Step 3: Cross multiply
    38,475.36x = 57,726 × 18,750.24
  4. Step 4: Simplify right side
    38,475.36x = 1,082,376,354.24
  5. Step 5: Solve for x
    x = 1,082,376,354.24/38,475.36
  6. Step 6: Final answer
    x = 28,131.68

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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.