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Finding the Fourth Proportional to 27,848.41, 38,424.78 and 17,642.41

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Solution

The fourth proportional to 27,848.41, 38,424.78 and 17,642.41 is: 24,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848.41 : 38,424.78 = 17,642.41 : x
  2. Step 2: Convert to fraction form
    27,848.41/38,424.78 = 17,642.41/x
  3. Step 3: Cross multiply
    27,848.41x = 38,424.78 × 17,642.41
  4. Step 4: Simplify right side
    27,848.41x = 677,905,626.86
  5. Step 5: Solve for x
    x = 677,905,626.86/27,848.41
  6. Step 6: Final answer
    x = 24,342.71

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1.5x scale

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.