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Finding the Fourth Proportional to 51,844.36, 77,860.22 and 47,676.68

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Solution

The fourth proportional to 51,844.36, 77,860.22 and 47,676.68 is: 71,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,844.36 : 77,860.22 = 47,676.68 : x
  2. Step 2: Convert to fraction form
    51,844.36/77,860.22 = 47,676.68/x
  3. Step 3: Cross multiply
    51,844.36x = 77,860.22 × 47,676.68
  4. Step 4: Simplify right side
    51,844.36x = 3,712,116,793.67
  5. Step 5: Solve for x
    x = 3,712,116,793.67/51,844.36
  6. Step 6: Final answer
    x = 71,601.17

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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.