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Finding the Fourth Proportional to 66,112.84, 91,172.82 and 43,471

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Solution

The fourth proportional to 66,112.84, 91,172.82 and 43,471 is: 59,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,112.84 : 91,172.82 = 43,471 : x
  2. Step 2: Convert to fraction form
    66,112.84/91,172.82 = 43,471/x
  3. Step 3: Cross multiply
    66,112.84x = 91,172.82 × 43,471
  4. Step 4: Simplify right side
    66,112.84x = 3,963,373,658.22
  5. Step 5: Solve for x
    x = 3,963,373,658.22/66,112.84
  6. Step 6: Final answer
    x = 59,948.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.