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Finding the Fourth Proportional to 52,269.57, 72,161.91 and 34,416.45

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Solution

The fourth proportional to 52,269.57, 72,161.91 and 34,416.45 is: 47,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,269.57 : 72,161.91 = 34,416.45 : x
  2. Step 2: Convert to fraction form
    52,269.57/72,161.91 = 34,416.45/x
  3. Step 3: Cross multiply
    52,269.57x = 72,161.91 × 34,416.45
  4. Step 4: Simplify right side
    52,269.57x = 2,483,556,767.42
  5. Step 5: Solve for x
    x = 2,483,556,767.42/52,269.57
  6. Step 6: Final answer
    x = 47,514.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.