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Finding the Fourth Proportional to 35,717.64, 53,579.42 and 9,422.48

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Solution

The fourth proportional to 35,717.64, 53,579.42 and 9,422.48 is: 14,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,717.64 : 53,579.42 = 9,422.48 : x
  2. Step 2: Convert to fraction form
    35,717.64/53,579.42 = 9,422.48/x
  3. Step 3: Cross multiply
    35,717.64x = 53,579.42 × 9,422.48
  4. Step 4: Simplify right side
    35,717.64x = 504,851,013.36
  5. Step 5: Solve for x
    x = 504,851,013.36/35,717.64
  6. Step 6: Final answer
    x = 14,134.50

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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.