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Finding the Fourth Proportional to 38,113.50, 57,205.35 and 19,406.91

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Solution

The fourth proportional to 38,113.50, 57,205.35 and 19,406.91 is: 29,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.50 : 57,205.35 = 19,406.91 : x
  2. Step 2: Convert to fraction form
    38,113.50/57,205.35 = 19,406.91/x
  3. Step 3: Cross multiply
    38,113.50x = 57,205.35 × 19,406.91
  4. Step 4: Simplify right side
    38,113.50x = 1,110,179,078.97
  5. Step 5: Solve for x
    x = 1,110,179,078.97/38,113.50
  6. Step 6: Final answer
    x = 29,128.24

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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.