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Finding the Fourth Proportional to 71,637.84, 107,462.16 and 19,046.16

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Solution

The fourth proportional to 71,637.84, 107,462.16 and 19,046.16 is: 28,570.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,637.84 : 107,462.16 = 19,046.16 : x
  2. Step 2: Convert to fraction form
    71,637.84/107,462.16 = 19,046.16/x
  3. Step 3: Cross multiply
    71,637.84x = 107,462.16 × 19,046.16
  4. Step 4: Simplify right side
    71,637.84x = 2,046,741,493.31
  5. Step 5: Solve for x
    x = 2,046,741,493.31/71,637.84
  6. Step 6: Final answer
    x = 28,570.68

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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.