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Finding the Fourth Proportional to 51,123.66, 76,697.80 and 16,063.32

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Solution

The fourth proportional to 51,123.66, 76,697.80 and 16,063.32 is: 24,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,123.66 : 76,697.80 = 16,063.32 : x
  2. Step 2: Convert to fraction form
    51,123.66/76,697.80 = 16,063.32/x
  3. Step 3: Cross multiply
    51,123.66x = 76,697.80 × 16,063.32
  4. Step 4: Simplify right side
    51,123.66x = 1,232,021,304.70
  5. Step 5: Solve for x
    x = 1,232,021,304.70/51,123.66
  6. Step 6: Final answer
    x = 24,098.85

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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.