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Finding the Fourth Proportional to 74,201, 102,397.38 and 40,667

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Solution

The fourth proportional to 74,201, 102,397.38 and 40,667 is: 56,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,201 : 102,397.38 = 40,667 : x
  2. Step 2: Convert to fraction form
    74,201/102,397.38 = 40,667/x
  3. Step 3: Cross multiply
    74,201x = 102,397.38 × 40,667
  4. Step 4: Simplify right side
    74,201x = 4,164,194,252.46
  5. Step 5: Solve for x
    x = 4,164,194,252.46/74,201
  6. Step 6: Final answer
    x = 56,120.46

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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.