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Finding the Fourth Proportional to 29,891, 41,250.70 and 16,461.90

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Solution

The fourth proportional to 29,891, 41,250.70 and 16,461.90 is: 22,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891 : 41,250.70 = 16,461.90 : x
  2. Step 2: Convert to fraction form
    29,891/41,250.70 = 16,461.90/x
  3. Step 3: Cross multiply
    29,891x = 41,250.70 × 16,461.90
  4. Step 4: Simplify right side
    29,891x = 679,064,898.33
  5. Step 5: Solve for x
    x = 679,064,898.33/29,891
  6. Step 6: Final answer
    x = 22,718.04

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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.