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Finding the Fourth Proportional to 77,034, 106,306.92 and 41,706

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Solution

The fourth proportional to 77,034, 106,306.92 and 41,706 is: 57,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,034 : 106,306.92 = 41,706 : x
  2. Step 2: Convert to fraction form
    77,034/106,306.92 = 41,706/x
  3. Step 3: Cross multiply
    77,034x = 106,306.92 × 41,706
  4. Step 4: Simplify right side
    77,034x = 4,433,636,405.52
  5. Step 5: Solve for x
    x = 4,433,636,405.52/77,034
  6. Step 6: Final answer
    x = 57,554.28

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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.