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Finding the Fourth Proportional to 41,316, 62,198.80 and 37,641.84

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Solution

The fourth proportional to 41,316, 62,198.80 and 37,641.84 is: 56,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,316 : 62,198.80 = 37,641.84 : x
  2. Step 2: Convert to fraction form
    41,316/62,198.80 = 37,641.84/x
  3. Step 3: Cross multiply
    41,316x = 62,198.80 × 37,641.84
  4. Step 4: Simplify right side
    41,316x = 2,341,277,277.79
  5. Step 5: Solve for x
    x = 2,341,277,277.79/41,316
  6. Step 6: Final answer
    x = 56,667.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.