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Finding the Fourth Proportional to 74,602, 102,950.76 and 41,068

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Solution

The fourth proportional to 74,602, 102,950.76 and 41,068 is: 56,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,602 : 102,950.76 = 41,068 : x
  2. Step 2: Convert to fraction form
    74,602/102,950.76 = 41,068/x
  3. Step 3: Cross multiply
    74,602x = 102,950.76 × 41,068
  4. Step 4: Simplify right side
    74,602x = 4,227,981,811.68
  5. Step 5: Solve for x
    x = 4,227,981,811.68/74,602
  6. Step 6: Final answer
    x = 56,673.84

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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.