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Finding the Fourth Proportional to 35,894.97, 53,850.12 and 10,937.01

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Solution

The fourth proportional to 35,894.97, 53,850.12 and 10,937.01 is: 16,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.97 : 53,850.12 = 10,937.01 : x
  2. Step 2: Convert to fraction form
    35,894.97/53,850.12 = 10,937.01/x
  3. Step 3: Cross multiply
    35,894.97x = 53,850.12 × 10,937.01
  4. Step 4: Simplify right side
    35,894.97x = 588,959,220.48
  5. Step 5: Solve for x
    x = 588,959,220.48/35,894.97
  6. Step 6: Final answer
    x = 16,407.85

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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.