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Finding the Fourth Proportional to 51,402.60, 77,046.30 and 21,815.40

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Solution

The fourth proportional to 51,402.60, 77,046.30 and 21,815.40 is: 32,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.60 : 77,046.30 = 21,815.40 : x
  2. Step 2: Convert to fraction form
    51,402.60/77,046.30 = 21,815.40/x
  3. Step 3: Cross multiply
    51,402.60x = 77,046.30 × 21,815.40
  4. Step 4: Simplify right side
    51,402.60x = 1,680,795,853.02
  5. Step 5: Solve for x
    x = 1,680,795,853.02/51,402.60
  6. Step 6: Final answer
    x = 32,698.65

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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.