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Finding the Fourth Proportional to 110,379.66, 165,575.64 and 31,487.58

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Solution

The fourth proportional to 110,379.66, 165,575.64 and 31,487.58 is: 47,233.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,379.66 : 165,575.64 = 31,487.58 : x
  2. Step 2: Convert to fraction form
    110,379.66/165,575.64 = 31,487.58/x
  3. Step 3: Cross multiply
    110,379.66x = 165,575.64 × 31,487.58
  4. Step 4: Simplify right side
    110,379.66x = 5,213,576,210.55
  5. Step 5: Solve for x
    x = 5,213,576,210.55/110,379.66
  6. Step 6: Final answer
    x = 47,233.12

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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.