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Finding the Fourth Proportional to 73,736.61, 110,586.63 and 31,611.93

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Solution

The fourth proportional to 73,736.61, 110,586.63 and 31,611.93 is: 47,410.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,736.61 : 110,586.63 = 31,611.93 : x
  2. Step 2: Convert to fraction form
    73,736.61/110,586.63 = 31,611.93/x
  3. Step 3: Cross multiply
    73,736.61x = 110,586.63 × 31,611.93
  4. Step 4: Simplify right side
    73,736.61x = 3,495,856,806.50
  5. Step 5: Solve for x
    x = 3,495,856,806.50/73,736.61
  6. Step 6: Final answer
    x = 47,410.06

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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.