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Finding the Fourth Proportional to 51,003.74, 76,394.64 and 24,653

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Solution

The fourth proportional to 51,003.74, 76,394.64 and 24,653 is: 36,925.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,003.74 : 76,394.64 = 24,653 : x
  2. Step 2: Convert to fraction form
    51,003.74/76,394.64 = 24,653/x
  3. Step 3: Cross multiply
    51,003.74x = 76,394.64 × 24,653
  4. Step 4: Simplify right side
    51,003.74x = 1,883,357,059.92
  5. Step 5: Solve for x
    x = 1,883,357,059.92/51,003.74
  6. Step 6: Final answer
    x = 36,925.86

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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.