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Finding the Fourth Proportional to 74,568.34, 102,904.14 and 41,034.34

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Solution

The fourth proportional to 74,568.34, 102,904.14 and 41,034.34 is: 56,627.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,568.34 : 102,904.14 = 41,034.34 : x
  2. Step 2: Convert to fraction form
    74,568.34/102,904.14 = 41,034.34/x
  3. Step 3: Cross multiply
    74,568.34x = 102,904.14 × 41,034.34
  4. Step 4: Simplify right side
    74,568.34x = 4,222,603,468.17
  5. Step 5: Solve for x
    x = 4,222,603,468.17/74,568.34
  6. Step 6: Final answer
    x = 56,627.30

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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.