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Finding the Fourth Proportional to 51,096.64, 76,644.98 and 24,436.33

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Solution

The fourth proportional to 51,096.64, 76,644.98 and 24,436.33 is: 36,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,096.64 : 76,644.98 = 24,436.33 : x
  2. Step 2: Convert to fraction form
    51,096.64/76,644.98 = 24,436.33/x
  3. Step 3: Cross multiply
    51,096.64x = 76,644.98 × 24,436.33
  4. Step 4: Simplify right side
    51,096.64x = 1,872,922,024.12
  5. Step 5: Solve for x
    x = 1,872,922,024.12/51,096.64
  6. Step 6: Final answer
    x = 36,654.50

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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.