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Finding the Fourth Proportional to 37,633.50, 56,454.03 and 9,931.50

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Solution

The fourth proportional to 37,633.50, 56,454.03 and 9,931.50 is: 14,898.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,633.50 : 56,454.03 = 9,931.50 : x
  2. Step 2: Convert to fraction form
    37,633.50/56,454.03 = 9,931.50/x
  3. Step 3: Cross multiply
    37,633.50x = 56,454.03 × 9,931.50
  4. Step 4: Simplify right side
    37,633.50x = 560,673,198.95
  5. Step 5: Solve for x
    x = 560,673,198.95/37,633.50
  6. Step 6: Final answer
    x = 14,898.25

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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.