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Finding the Fourth Proportional to 41,209.70, 61,814.55 and 41,209.70

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Solution

The fourth proportional to 41,209.70, 61,814.55 and 41,209.70 is: 61,814.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,209.70 : 61,814.55 = 41,209.70 : x
  2. Step 2: Convert to fraction form
    41,209.70/61,814.55 = 41,209.70/x
  3. Step 3: Cross multiply
    41,209.70x = 61,814.55 × 41,209.70
  4. Step 4: Simplify right side
    41,209.70x = 2,547,359,061.14
  5. Step 5: Solve for x
    x = 2,547,359,061.14/41,209.70
  6. Step 6: Final answer
    x = 61,814.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.