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Finding the Fourth Proportional to 71,864.61, 107,853.41 and 49,833.01

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Solution

The fourth proportional to 71,864.61, 107,853.41 and 49,833.01 is: 74,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,864.61 : 107,853.41 = 49,833.01 : x
  2. Step 2: Convert to fraction form
    71,864.61/107,853.41 = 49,833.01/x
  3. Step 3: Cross multiply
    71,864.61x = 107,853.41 × 49,833.01
  4. Step 4: Simplify right side
    71,864.61x = 5,374,660,059.06
  5. Step 5: Solve for x
    x = 5,374,660,059.06/71,864.61
  6. Step 6: Final answer
    x = 74,788.69

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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.