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Finding the Fourth Proportional to 81,963.40, 122,916.30 and 37,611.40

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Solution

The fourth proportional to 81,963.40, 122,916.30 and 37,611.40 is: 56,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,963.40 : 122,916.30 = 37,611.40 : x
  2. Step 2: Convert to fraction form
    81,963.40/122,916.30 = 37,611.40/x
  3. Step 3: Cross multiply
    81,963.40x = 122,916.30 × 37,611.40
  4. Step 4: Simplify right side
    81,963.40x = 4,623,054,125.82
  5. Step 5: Solve for x
    x = 4,623,054,125.82/81,963.40
  6. Step 6: Final answer
    x = 56,403.88

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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.