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Finding the Fourth Proportional to 35,862, 53,801.64 and 11,238

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Solution

The fourth proportional to 35,862, 53,801.64 and 11,238 is: 16,859.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,862 : 53,801.64 = 11,238 : x
  2. Step 2: Convert to fraction form
    35,862/53,801.64 = 11,238/x
  3. Step 3: Cross multiply
    35,862x = 53,801.64 × 11,238
  4. Step 4: Simplify right side
    35,862x = 604,622,830.32
  5. Step 5: Solve for x
    x = 604,622,830.32/35,862
  6. Step 6: Final answer
    x = 16,859.71

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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.