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Finding the Fourth Proportional to 35,894.84, 53,844.90 and 10,937.02

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Solution

The fourth proportional to 35,894.84, 53,844.90 and 10,937.02 is: 16,406.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,894.84 : 53,844.90 = 10,937.02 : x
  2. Step 2: Convert to fraction form
    35,894.84/53,844.90 = 10,937.02/x
  3. Step 3: Cross multiply
    35,894.84x = 53,844.90 × 10,937.02
  4. Step 4: Simplify right side
    35,894.84x = 588,902,748.20
  5. Step 5: Solve for x
    x = 588,902,748.20/35,894.84
  6. Step 6: Final answer
    x = 16,406.33

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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.