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Finding the Fourth Proportional to 51,732.84, 77,612.22 and 16,671.72

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Solution

The fourth proportional to 51,732.84, 77,612.22 and 16,671.72 is: 25,011.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,732.84 : 77,612.22 = 16,671.72 : x
  2. Step 2: Convert to fraction form
    51,732.84/77,612.22 = 16,671.72/x
  3. Step 3: Cross multiply
    51,732.84x = 77,612.22 × 16,671.72
  4. Step 4: Simplify right side
    51,732.84x = 1,293,929,200.42
  5. Step 5: Solve for x
    x = 1,293,929,200.42/51,732.84
  6. Step 6: Final answer
    x = 25,011.76

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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.