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Finding the Fourth Proportional to 38,620.80, 57,974.40 and 29,894.40

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Solution

The fourth proportional to 38,620.80, 57,974.40 and 29,894.40 is: 44,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,620.80 : 57,974.40 = 29,894.40 : x
  2. Step 2: Convert to fraction form
    38,620.80/57,974.40 = 29,894.40/x
  3. Step 3: Cross multiply
    38,620.80x = 57,974.40 × 29,894.40
  4. Step 4: Simplify right side
    38,620.80x = 1,733,109,903.36
  5. Step 5: Solve for x
    x = 1,733,109,903.36/38,620.80
  6. Step 6: Final answer
    x = 44,875.04

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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.