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Finding the Fourth Proportional to 52,813, 79,226.52 and 24,729.22

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Solution

The fourth proportional to 52,813, 79,226.52 and 24,729.22 is: 37,097.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813 : 79,226.52 = 24,729.22 : x
  2. Step 2: Convert to fraction form
    52,813/79,226.52 = 24,729.22/x
  3. Step 3: Cross multiply
    52,813x = 79,226.52 × 24,729.22
  4. Step 4: Simplify right side
    52,813x = 1,959,210,042.91
  5. Step 5: Solve for x
    x = 1,959,210,042.91/52,813
  6. Step 6: Final answer
    x = 37,097.12

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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.