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Finding the Fourth Proportional to 110,402.70, 165,613.05 and 47,223.30

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Solution

The fourth proportional to 110,402.70, 165,613.05 and 47,223.30 is: 70,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,402.70 : 165,613.05 = 47,223.30 : x
  2. Step 2: Convert to fraction form
    110,402.70/165,613.05 = 47,223.30/x
  3. Step 3: Cross multiply
    110,402.70x = 165,613.05 × 47,223.30
  4. Step 4: Simplify right side
    110,402.70x = 7,820,794,744.07
  5. Step 5: Solve for x
    x = 7,820,794,744.07/110,402.70
  6. Step 6: Final answer
    x = 70,838.80

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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.