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Finding the Fourth Proportional to 73,224.98, 109,859.34 and 51,918.74

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Solution

The fourth proportional to 73,224.98, 109,859.34 and 51,918.74 is: 77,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,224.98 : 109,859.34 = 51,918.74 : x
  2. Step 2: Convert to fraction form
    73,224.98/109,859.34 = 51,918.74/x
  3. Step 3: Cross multiply
    73,224.98x = 109,859.34 × 51,918.74
  4. Step 4: Simplify right side
    73,224.98x = 5,703,758,510.03
  5. Step 5: Solve for x
    x = 5,703,758,510.03/73,224.98
  6. Step 6: Final answer
    x = 77,893.62

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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.