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Finding the Fourth Proportional to 110,543.98, 165,815.26 and 31,658.48

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Solution

The fourth proportional to 110,543.98, 165,815.26 and 31,658.48 is: 47,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,543.98 : 165,815.26 = 31,658.48 : x
  2. Step 2: Convert to fraction form
    110,543.98/165,815.26 = 31,658.48/x
  3. Step 3: Cross multiply
    110,543.98x = 165,815.26 × 31,658.48
  4. Step 4: Simplify right side
    110,543.98x = 5,249,459,092.40
  5. Step 5: Solve for x
    x = 5,249,459,092.40/110,543.98
  6. Step 6: Final answer
    x = 47,487.52

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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.