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Finding the Fourth Proportional to 73,812.42, 110,737.17 and 21,222

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Solution

The fourth proportional to 73,812.42, 110,737.17 and 21,222 is: 31,838.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,812.42 : 110,737.17 = 21,222 : x
  2. Step 2: Convert to fraction form
    73,812.42/110,737.17 = 21,222/x
  3. Step 3: Cross multiply
    73,812.42x = 110,737.17 × 21,222
  4. Step 4: Simplify right side
    73,812.42x = 2,350,064,221.74
  5. Step 5: Solve for x
    x = 2,350,064,221.74/73,812.42
  6. Step 6: Final answer
    x = 31,838.33

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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.