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Finding the Fourth Proportional to 51,088.62, 76,632.86 and 16,031

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Solution

The fourth proportional to 51,088.62, 76,632.86 and 16,031 is: 24,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,088.62 : 76,632.86 = 16,031 : x
  2. Step 2: Convert to fraction form
    51,088.62/76,632.86 = 16,031/x
  3. Step 3: Cross multiply
    51,088.62x = 76,632.86 × 16,031
  4. Step 4: Simplify right side
    51,088.62x = 1,228,501,378.66
  5. Step 5: Solve for x
    x = 1,228,501,378.66/51,088.62
  6. Step 6: Final answer
    x = 24,046.48

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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.