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Finding the Fourth Proportional to 51,565.67, 77,359.67 and 16,026.31

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Solution

The fourth proportional to 51,565.67, 77,359.67 and 16,026.31 is: 24,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,565.67 : 77,359.67 = 16,026.31 : x
  2. Step 2: Convert to fraction form
    51,565.67/77,359.67 = 16,026.31/x
  3. Step 3: Cross multiply
    51,565.67x = 77,359.67 × 16,026.31
  4. Step 4: Simplify right side
    51,565.67x = 1,239,790,052.92
  5. Step 5: Solve for x
    x = 1,239,790,052.92/51,565.67
  6. Step 6: Final answer
    x = 24,042.94

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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.