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Finding the Fourth Proportional to 38,470.04, 57,711.54 and 17,693

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Solution

The fourth proportional to 38,470.04, 57,711.54 and 17,693 is: 26,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.04 : 57,711.54 = 17,693 : x
  2. Step 2: Convert to fraction form
    38,470.04/57,711.54 = 17,693/x
  3. Step 3: Cross multiply
    38,470.04x = 57,711.54 × 17,693
  4. Step 4: Simplify right side
    38,470.04x = 1,021,090,277.22
  5. Step 5: Solve for x
    x = 1,021,090,277.22/38,470.04
  6. Step 6: Final answer
    x = 26,542.48

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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.