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Finding the Fourth Proportional to 45,977, 63,448.34 and 26,105

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Solution

The fourth proportional to 45,977, 63,448.34 and 26,105 is: 36,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,977 : 63,448.34 = 26,105 : x
  2. Step 2: Convert to fraction form
    45,977/63,448.34 = 26,105/x
  3. Step 3: Cross multiply
    45,977x = 63,448.34 × 26,105
  4. Step 4: Simplify right side
    45,977x = 1,656,318,915.70
  5. Step 5: Solve for x
    x = 1,656,318,915.70/45,977
  6. Step 6: Final answer
    x = 36,024.95

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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.