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Finding the Fourth Proportional to 67,117.09, 100,456.52 and 49,343.06

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Solution

The fourth proportional to 67,117.09, 100,456.52 and 49,343.06 is: 73,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,117.09 : 100,456.52 = 49,343.06 : x
  2. Step 2: Convert to fraction form
    67,117.09/100,456.52 = 49,343.06/x
  3. Step 3: Cross multiply
    67,117.09x = 100,456.52 × 49,343.06
  4. Step 4: Simplify right side
    67,117.09x = 4,956,832,093.75
  5. Step 5: Solve for x
    x = 4,956,832,093.75/67,117.09
  6. Step 6: Final answer
    x = 73,853.50

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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.