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Finding the Fourth Proportional to 73,502.84, 110,166.74 and 51,195.40

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Solution

The fourth proportional to 73,502.84, 110,166.74 and 51,195.40 is: 76,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,502.84 : 110,166.74 = 51,195.40 : x
  2. Step 2: Convert to fraction form
    73,502.84/110,166.74 = 51,195.40/x
  3. Step 3: Cross multiply
    73,502.84x = 110,166.74 × 51,195.40
  4. Step 4: Simplify right side
    73,502.84x = 5,640,030,321.00
  5. Step 5: Solve for x
    x = 5,640,030,321.00/73,502.84
  6. Step 6: Final answer
    x = 76,732.14

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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.