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Finding the Fourth Proportional to 41,640, 57,490.95 and 24,649.68

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Solution

The fourth proportional to 41,640, 57,490.95 and 24,649.68 is: 34,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,640 : 57,490.95 = 24,649.68 : x
  2. Step 2: Convert to fraction form
    41,640/57,490.95 = 24,649.68/x
  3. Step 3: Cross multiply
    41,640x = 57,490.95 × 24,649.68
  4. Step 4: Simplify right side
    41,640x = 1,417,133,520.40
  5. Step 5: Solve for x
    x = 1,417,133,520.40/41,640
  6. Step 6: Final answer
    x = 34,032.99

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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.