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Finding the Fourth Proportional to 73,813.10, 110,720.18 and 31,657.61

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Solution

The fourth proportional to 73,813.10, 110,720.18 and 31,657.61 is: 47,486.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,813.10 : 110,720.18 = 31,657.61 : x
  2. Step 2: Convert to fraction form
    73,813.10/110,720.18 = 31,657.61/x
  3. Step 3: Cross multiply
    73,813.10x = 110,720.18 × 31,657.61
  4. Step 4: Simplify right side
    73,813.10x = 3,505,136,277.57
  5. Step 5: Solve for x
    x = 3,505,136,277.57/73,813.10
  6. Step 6: Final answer
    x = 47,486.64

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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.