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Finding the Fourth Proportional to 45,825, 63,228.90 and 26,964.20

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Solution

The fourth proportional to 45,825, 63,228.90 and 26,964.20 is: 37,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,825 : 63,228.90 = 26,964.20 : x
  2. Step 2: Convert to fraction form
    45,825/63,228.90 = 26,964.20/x
  3. Step 3: Cross multiply
    45,825x = 63,228.90 × 26,964.20
  4. Step 4: Simplify right side
    45,825x = 1,704,916,705.38
  5. Step 5: Solve for x
    x = 1,704,916,705.38/45,825
  6. Step 6: Final answer
    x = 37,204.95

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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.