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Finding the Fourth Proportional to 71,801.64, 107,653.86 and 25,029

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Solution

The fourth proportional to 71,801.64, 107,653.86 and 25,029 is: 37,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,801.64 : 107,653.86 = 25,029 : x
  2. Step 2: Convert to fraction form
    71,801.64/107,653.86 = 25,029/x
  3. Step 3: Cross multiply
    71,801.64x = 107,653.86 × 25,029
  4. Step 4: Simplify right side
    71,801.64x = 2,694,468,461.94
  5. Step 5: Solve for x
    x = 2,694,468,461.94/71,801.64
  6. Step 6: Final answer
    x = 37,526.56

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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.