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Finding the Fourth Proportional to 37,488.50, 56,236.02 and 9,786.50

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Solution

The fourth proportional to 37,488.50, 56,236.02 and 9,786.50 is: 14,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,488.50 : 56,236.02 = 9,786.50 : x
  2. Step 2: Convert to fraction form
    37,488.50/56,236.02 = 9,786.50/x
  3. Step 3: Cross multiply
    37,488.50x = 56,236.02 × 9,786.50
  4. Step 4: Simplify right side
    37,488.50x = 550,353,809.73
  5. Step 5: Solve for x
    x = 550,353,809.73/37,488.50
  6. Step 6: Final answer
    x = 14,680.60

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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.