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Finding the Fourth Proportional to 38,358.88, 57,460.56 and 19,852

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Solution

The fourth proportional to 38,358.88, 57,460.56 and 19,852 is: 29,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,358.88 : 57,460.56 = 19,852 : x
  2. Step 2: Convert to fraction form
    38,358.88/57,460.56 = 19,852/x
  3. Step 3: Cross multiply
    38,358.88x = 57,460.56 × 19,852
  4. Step 4: Simplify right side
    38,358.88x = 1,140,707,037.12
  5. Step 5: Solve for x
    x = 1,140,707,037.12/38,358.88
  6. Step 6: Final answer
    x = 29,737.76

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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.