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Finding the Fourth Proportional to 110,404.70, 165,616.05 and 47,225.30

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Solution

The fourth proportional to 110,404.70, 165,616.05 and 47,225.30 is: 70,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,404.70 : 165,616.05 = 47,225.30 : x
  2. Step 2: Convert to fraction form
    110,404.70/165,616.05 = 47,225.30/x
  3. Step 3: Cross multiply
    110,404.70x = 165,616.05 × 47,225.30
  4. Step 4: Simplify right side
    110,404.70x = 7,821,267,646.07
  5. Step 5: Solve for x
    x = 7,821,267,646.07/110,404.70
  6. Step 6: Final answer
    x = 70,841.80

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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.