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Finding the Fourth Proportional to 35,885, 53,827.98 and 11,261

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Solution

The fourth proportional to 35,885, 53,827.98 and 11,261 is: 16,891.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,885 : 53,827.98 = 11,261 : x
  2. Step 2: Convert to fraction form
    35,885/53,827.98 = 11,261/x
  3. Step 3: Cross multiply
    35,885x = 53,827.98 × 11,261
  4. Step 4: Simplify right side
    35,885x = 606,156,882.78
  5. Step 5: Solve for x
    x = 606,156,882.78/35,885
  6. Step 6: Final answer
    x = 16,891.65

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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.