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Finding the Fourth Proportional to 35,890, 53,835.48 and 11,266

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Solution

The fourth proportional to 35,890, 53,835.48 and 11,266 is: 16,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890 : 53,835.48 = 11,266 : x
  2. Step 2: Convert to fraction form
    35,890/53,835.48 = 11,266/x
  3. Step 3: Cross multiply
    35,890x = 53,835.48 × 11,266
  4. Step 4: Simplify right side
    35,890x = 606,510,517.68
  5. Step 5: Solve for x
    x = 606,510,517.68/35,890
  6. Step 6: Final answer
    x = 16,899.15

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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.