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Finding the Fourth Proportional to 106,500.44, 159,723.32 and 31,602.87

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Solution

The fourth proportional to 106,500.44, 159,723.32 and 31,602.87 is: 47,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,500.44 : 159,723.32 = 31,602.87 : x
  2. Step 2: Convert to fraction form
    106,500.44/159,723.32 = 31,602.87/x
  3. Step 3: Cross multiply
    106,500.44x = 159,723.32 × 31,602.87
  4. Step 4: Simplify right side
    106,500.44x = 5,047,715,159.91
  5. Step 5: Solve for x
    x = 5,047,715,159.91/106,500.44
  6. Step 6: Final answer
    x = 47,396.19

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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.