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Finding the Fourth Proportional to 73,114.80, 109,584 and 33,617.76

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Solution

The fourth proportional to 73,114.80, 109,584 and 33,617.76 is: 50,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,114.80 : 109,584 = 33,617.76 : x
  2. Step 2: Convert to fraction form
    73,114.80/109,584 = 33,617.76/x
  3. Step 3: Cross multiply
    73,114.80x = 109,584 × 33,617.76
  4. Step 4: Simplify right side
    73,114.80x = 3,683,968,611.84
  5. Step 5: Solve for x
    x = 3,683,968,611.84/73,114.80
  6. Step 6: Final answer
    x = 50,386.09

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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.