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Finding the Fourth Proportional to 51,473.76, 77,204.43 and 23,363.97

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Solution

The fourth proportional to 51,473.76, 77,204.43 and 23,363.97 is: 35,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,473.76 : 77,204.43 = 23,363.97 : x
  2. Step 2: Convert to fraction form
    51,473.76/77,204.43 = 23,363.97/x
  3. Step 3: Cross multiply
    51,473.76x = 77,204.43 × 23,363.97
  4. Step 4: Simplify right side
    51,473.76x = 1,803,801,986.39
  5. Step 5: Solve for x
    x = 1,803,801,986.39/51,473.76
  6. Step 6: Final answer
    x = 35,043.14

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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.