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Finding the Fourth Proportional to 45,326, 67,772.64 and 41,355.74

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Solution

The fourth proportional to 45,326, 67,772.64 and 41,355.74 is: 61,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,326 : 67,772.64 = 41,355.74 : x
  2. Step 2: Convert to fraction form
    45,326/67,772.64 = 41,355.74/x
  3. Step 3: Cross multiply
    45,326x = 67,772.64 × 41,355.74
  4. Step 4: Simplify right side
    45,326x = 2,802,787,678.95
  5. Step 5: Solve for x
    x = 2,802,787,678.95/45,326
  6. Step 6: Final answer
    x = 61,836.20

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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.