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Finding the Fourth Proportional to 74,293, 102,524.34 and 40,759.72

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Solution

The fourth proportional to 74,293, 102,524.34 and 40,759.72 is: 56,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293 : 102,524.34 = 40,759.72 : x
  2. Step 2: Convert to fraction form
    74,293/102,524.34 = 40,759.72/x
  3. Step 3: Cross multiply
    74,293x = 102,524.34 × 40,759.72
  4. Step 4: Simplify right side
    74,293x = 4,178,863,391.58
  5. Step 5: Solve for x
    x = 4,178,863,391.58/74,293
  6. Step 6: Final answer
    x = 56,248.41

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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.