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Finding the Fourth Proportional to 51,297.40, 76,938.40 and 16,232.50

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Solution

The fourth proportional to 51,297.40, 76,938.40 and 16,232.50 is: 24,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297.40 : 76,938.40 = 16,232.50 : x
  2. Step 2: Convert to fraction form
    51,297.40/76,938.40 = 16,232.50/x
  3. Step 3: Cross multiply
    51,297.40x = 76,938.40 × 16,232.50
  4. Step 4: Simplify right side
    51,297.40x = 1,248,902,578
  5. Step 5: Solve for x
    x = 1,248,902,578/51,297.40
  6. Step 6: Final answer
    x = 24,346.31

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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.