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Finding the Fourth Proportional to 73,405.74, 110,122.74 and 31,285.04

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Solution

The fourth proportional to 73,405.74, 110,122.74 and 31,285.04 is: 46,933.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,405.74 : 110,122.74 = 31,285.04 : x
  2. Step 2: Convert to fraction form
    73,405.74/110,122.74 = 31,285.04/x
  3. Step 3: Cross multiply
    73,405.74x = 110,122.74 × 31,285.04
  4. Step 4: Simplify right side
    73,405.74x = 3,445,193,775.20
  5. Step 5: Solve for x
    x = 3,445,193,775.20/73,405.74
  6. Step 6: Final answer
    x = 46,933.57

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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.