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Finding the Fourth Proportional to 74,684.38, 103,007.52 and 50,770.74

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Solution

The fourth proportional to 74,684.38, 103,007.52 and 50,770.74 is: 70,024.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,684.38 : 103,007.52 = 50,770.74 : x
  2. Step 2: Convert to fraction form
    74,684.38/103,007.52 = 50,770.74/x
  3. Step 3: Cross multiply
    74,684.38x = 103,007.52 × 50,770.74
  4. Step 4: Simplify right side
    74,684.38x = 5,229,768,015.96
  5. Step 5: Solve for x
    x = 5,229,768,015.96/74,684.38
  6. Step 6: Final answer
    x = 70,024.92

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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.