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Finding the Fourth Proportional to 37,611.84, 51,902.34 and 21,695.34

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Solution

The fourth proportional to 37,611.84, 51,902.34 and 21,695.34 is: 29,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,611.84 : 51,902.34 = 21,695.34 : x
  2. Step 2: Convert to fraction form
    37,611.84/51,902.34 = 21,695.34/x
  3. Step 3: Cross multiply
    37,611.84x = 51,902.34 × 21,695.34
  4. Step 4: Simplify right side
    37,611.84x = 1,126,038,913.10
  5. Step 5: Solve for x
    x = 1,126,038,913.10/37,611.84
  6. Step 6: Final answer
    x = 29,938.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.