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Finding the Fourth Proportional to 71,816.64, 107,676.36 and 25,044

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Solution

The fourth proportional to 71,816.64, 107,676.36 and 25,044 is: 37,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,816.64 : 107,676.36 = 25,044 : x
  2. Step 2: Convert to fraction form
    71,816.64/107,676.36 = 25,044/x
  3. Step 3: Cross multiply
    71,816.64x = 107,676.36 × 25,044
  4. Step 4: Simplify right side
    71,816.64x = 2,696,646,759.84
  5. Step 5: Solve for x
    x = 2,696,646,759.84/71,816.64
  6. Step 6: Final answer
    x = 37,549.05

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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.