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Finding the Fourth Proportional to 51,318.64, 76,980.12 and 16,257.52

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Solution

The fourth proportional to 51,318.64, 76,980.12 and 16,257.52 is: 24,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,318.64 : 76,980.12 = 16,257.52 : x
  2. Step 2: Convert to fraction form
    51,318.64/76,980.12 = 16,257.52/x
  3. Step 3: Cross multiply
    51,318.64x = 76,980.12 × 16,257.52
  4. Step 4: Simplify right side
    51,318.64x = 1,251,505,840.50
  5. Step 5: Solve for x
    x = 1,251,505,840.50/51,318.64
  6. Step 6: Final answer
    x = 24,386.96

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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.