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Finding the Fourth Proportional to 51,613.84, 77,424.36 and 20,449

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Solution

The fourth proportional to 51,613.84, 77,424.36 and 20,449 is: 30,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,613.84 : 77,424.36 = 20,449 : x
  2. Step 2: Convert to fraction form
    51,613.84/77,424.36 = 20,449/x
  3. Step 3: Cross multiply
    51,613.84x = 77,424.36 × 20,449
  4. Step 4: Simplify right side
    51,613.84x = 1,583,250,737.64
  5. Step 5: Solve for x
    x = 1,583,250,737.64/51,613.84
  6. Step 6: Final answer
    x = 30,674.93

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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.