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Finding the Fourth Proportional to 110,447.65, 165,677.24 and 31,573.81

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Solution

The fourth proportional to 110,447.65, 165,677.24 and 31,573.81 is: 47,362.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,447.65 : 165,677.24 = 31,573.81 : x
  2. Step 2: Convert to fraction form
    110,447.65/165,677.24 = 31,573.81/x
  3. Step 3: Cross multiply
    110,447.65x = 165,677.24 × 31,573.81
  4. Step 4: Simplify right side
    110,447.65x = 5,231,061,697.08
  5. Step 5: Solve for x
    x = 5,231,061,697.08/110,447.65
  6. Step 6: Final answer
    x = 47,362.36

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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.