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Finding the Fourth Proportional to 51,854.62, 77,812.17 and 21,867.04

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Solution

The fourth proportional to 51,854.62, 77,812.17 and 21,867.04 is: 32,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.62 : 77,812.17 = 21,867.04 : x
  2. Step 2: Convert to fraction form
    51,854.62/77,812.17 = 21,867.04/x
  3. Step 3: Cross multiply
    51,854.62x = 77,812.17 × 21,867.04
  4. Step 4: Simplify right side
    51,854.62x = 1,701,521,833.88
  5. Step 5: Solve for x
    x = 1,701,521,833.88/51,854.62
  6. Step 6: Final answer
    x = 32,813.31

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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.