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Finding the Fourth Proportional to 35,873.28, 53,838 and 24,857.28

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Solution

The fourth proportional to 35,873.28, 53,838 and 24,857.28 is: 37,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,873.28 : 53,838 = 24,857.28 : x
  2. Step 2: Convert to fraction form
    35,873.28/53,838 = 24,857.28/x
  3. Step 3: Cross multiply
    35,873.28x = 53,838 × 24,857.28
  4. Step 4: Simplify right side
    35,873.28x = 1,338,266,240.64
  5. Step 5: Solve for x
    x = 1,338,266,240.64/35,873.28
  6. Step 6: Final answer
    x = 37,305.38

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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.