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Finding the Fourth Proportional to 35,878.52, 53,825.97 and 10,922.11

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Solution

The fourth proportional to 35,878.52, 53,825.97 and 10,922.11 is: 16,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,878.52 : 53,825.97 = 10,922.11 : x
  2. Step 2: Convert to fraction form
    35,878.52/53,825.97 = 10,922.11/x
  3. Step 3: Cross multiply
    35,878.52x = 53,825.97 × 10,922.11
  4. Step 4: Simplify right side
    35,878.52x = 587,893,165.20
  5. Step 5: Solve for x
    x = 587,893,165.20/35,878.52
  6. Step 6: Final answer
    x = 16,385.66

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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.