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Finding the Fourth Proportional to 35,523.52, 53,287.90 and 10,222.02

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Solution

The fourth proportional to 35,523.52, 53,287.90 and 10,222.02 is: 15,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,523.52 : 53,287.90 = 10,222.02 : x
  2. Step 2: Convert to fraction form
    35,523.52/53,287.90 = 10,222.02/x
  3. Step 3: Cross multiply
    35,523.52x = 53,287.90 × 10,222.02
  4. Step 4: Simplify right side
    35,523.52x = 544,709,979.56
  5. Step 5: Solve for x
    x = 544,709,979.56/35,523.52
  6. Step 6: Final answer
    x = 15,333.78

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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.