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Finding the Fourth Proportional to 51,573, 77,364.21 and 16,034.52

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Solution

The fourth proportional to 51,573, 77,364.21 and 16,034.52 is: 24,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,573 : 77,364.21 = 16,034.52 : x
  2. Step 2: Convert to fraction form
    51,573/77,364.21 = 16,034.52/x
  3. Step 3: Cross multiply
    51,573x = 77,364.21 × 16,034.52
  4. Step 4: Simplify right side
    51,573x = 1,240,497,972.53
  5. Step 5: Solve for x
    x = 1,240,497,972.53/51,573
  6. Step 6: Final answer
    x = 24,053.24

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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.