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Finding the Fourth Proportional to 51,494.47, 77,270.90 and 27,801.70

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Solution

The fourth proportional to 51,494.47, 77,270.90 and 27,801.70 is: 41,718.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,494.47 : 77,270.90 = 27,801.70 : x
  2. Step 2: Convert to fraction form
    51,494.47/77,270.90 = 27,801.70/x
  3. Step 3: Cross multiply
    51,494.47x = 77,270.90 × 27,801.70
  4. Step 4: Simplify right side
    51,494.47x = 2,148,262,048.34
  5. Step 5: Solve for x
    x = 2,148,262,048.34/51,494.47
  6. Step 6: Final answer
    x = 41,718.31

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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.