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Finding the Fourth Proportional to 38,470.60, 57,662.70 and 19,743.40

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Solution

The fourth proportional to 38,470.60, 57,662.70 and 19,743.40 is: 29,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.60 : 57,662.70 = 19,743.40 : x
  2. Step 2: Convert to fraction form
    38,470.60/57,662.70 = 19,743.40/x
  3. Step 3: Cross multiply
    38,470.60x = 57,662.70 × 19,743.40
  4. Step 4: Simplify right side
    38,470.60x = 1,138,457,751.18
  5. Step 5: Solve for x
    x = 1,138,457,751.18/38,470.60
  6. Step 6: Final answer
    x = 29,592.93

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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.