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Finding the Fourth Proportional to 27,572.36, 38,056.62 and 15,642.68

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Solution

The fourth proportional to 27,572.36, 38,056.62 and 15,642.68 is: 21,590.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,572.36 : 38,056.62 = 15,642.68 : x
  2. Step 2: Convert to fraction form
    27,572.36/38,056.62 = 15,642.68/x
  3. Step 3: Cross multiply
    27,572.36x = 38,056.62 × 15,642.68
  4. Step 4: Simplify right side
    27,572.36x = 595,307,450.33
  5. Step 5: Solve for x
    x = 595,307,450.33/27,572.36
  6. Step 6: Final answer
    x = 21,590.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.