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Finding the Fourth Proportional to 52,031.26, 71,834.07 and 34,157.53

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Solution

The fourth proportional to 52,031.26, 71,834.07 and 34,157.53 is: 47,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,031.26 : 71,834.07 = 34,157.53 : x
  2. Step 2: Convert to fraction form
    52,031.26/71,834.07 = 34,157.53/x
  3. Step 3: Cross multiply
    52,031.26x = 71,834.07 × 34,157.53
  4. Step 4: Simplify right side
    52,031.26x = 2,453,674,401.05
  5. Step 5: Solve for x
    x = 2,453,674,401.05/52,031.26
  6. Step 6: Final answer
    x = 47,157.70

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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.