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Finding the Fourth Proportional to 38,946.67, 53,745.13 and 24,614.19

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Solution

The fourth proportional to 38,946.67, 53,745.13 and 24,614.19 is: 33,966.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,946.67 : 53,745.13 = 24,614.19 : x
  2. Step 2: Convert to fraction form
    38,946.67/53,745.13 = 24,614.19/x
  3. Step 3: Cross multiply
    38,946.67x = 53,745.13 × 24,614.19
  4. Step 4: Simplify right side
    38,946.67x = 1,322,892,670.62
  5. Step 5: Solve for x
    x = 1,322,892,670.62/38,946.67
  6. Step 6: Final answer
    x = 33,966.77

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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.