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Finding the Fourth Proportional to 27,574, 41,308.56 and 15,736

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Solution

The fourth proportional to 27,574, 41,308.56 and 15,736 is: 23,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,574 : 41,308.56 = 15,736 : x
  2. Step 2: Convert to fraction form
    27,574/41,308.56 = 15,736/x
  3. Step 3: Cross multiply
    27,574x = 41,308.56 × 15,736
  4. Step 4: Simplify right side
    27,574x = 650,031,500.16
  5. Step 5: Solve for x
    x = 650,031,500.16/27,574
  6. Step 6: Final answer
    x = 23,574.07

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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.