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Finding the Fourth Proportional to 73,171.04, 109,734.88 and 31,050.56

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Solution

The fourth proportional to 73,171.04, 109,734.88 and 31,050.56 is: 46,566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,171.04 : 109,734.88 = 31,050.56 : x
  2. Step 2: Convert to fraction form
    73,171.04/109,734.88 = 31,050.56/x
  3. Step 3: Cross multiply
    73,171.04x = 109,734.88 × 31,050.56
  4. Step 4: Simplify right side
    73,171.04x = 3,407,329,475.53
  5. Step 5: Solve for x
    x = 3,407,329,475.53/73,171.04
  6. Step 6: Final answer
    x = 46,566.64

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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.