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Finding the Fourth Proportional to 73,554, 101,506.14 and 40,020

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Solution

The fourth proportional to 73,554, 101,506.14 and 40,020 is: 55,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,554 : 101,506.14 = 40,020 : x
  2. Step 2: Convert to fraction form
    73,554/101,506.14 = 40,020/x
  3. Step 3: Cross multiply
    73,554x = 101,506.14 × 40,020
  4. Step 4: Simplify right side
    73,554x = 4,062,275,722.80
  5. Step 5: Solve for x
    x = 4,062,275,722.80/73,554
  6. Step 6: Final answer
    x = 55,228.48

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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.