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Finding the Fourth Proportional to 27,683.68, 41,458.56 and 19,372

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Solution

The fourth proportional to 27,683.68, 41,458.56 and 19,372 is: 29,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.68 : 41,458.56 = 19,372 : x
  2. Step 2: Convert to fraction form
    27,683.68/41,458.56 = 19,372/x
  3. Step 3: Cross multiply
    27,683.68x = 41,458.56 × 19,372
  4. Step 4: Simplify right side
    27,683.68x = 803,135,224.32
  5. Step 5: Solve for x
    x = 803,135,224.32/27,683.68
  6. Step 6: Final answer
    x = 29,011.14

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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.