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Finding the Fourth Proportional to 34,589.62, 47,733.02 and 21,159.88

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Solution

The fourth proportional to 34,589.62, 47,733.02 and 21,159.88 is: 29,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,589.62 : 47,733.02 = 21,159.88 : x
  2. Step 2: Convert to fraction form
    34,589.62/47,733.02 = 21,159.88/x
  3. Step 3: Cross multiply
    34,589.62x = 47,733.02 × 21,159.88
  4. Step 4: Simplify right side
    34,589.62x = 1,010,024,975.24
  5. Step 5: Solve for x
    x = 1,010,024,975.24/34,589.62
  6. Step 6: Final answer
    x = 29,200.23

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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.