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Finding the Fourth Proportional to 37,616.96, 56,434.80 and 11,321.12

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Solution

The fourth proportional to 37,616.96, 56,434.80 and 11,321.12 is: 16,984.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,616.96 : 56,434.80 = 11,321.12 : x
  2. Step 2: Convert to fraction form
    37,616.96/56,434.80 = 11,321.12/x
  3. Step 3: Cross multiply
    37,616.96x = 56,434.80 × 11,321.12
  4. Step 4: Simplify right side
    37,616.96x = 638,905,142.98
  5. Step 5: Solve for x
    x = 638,905,142.98/37,616.96
  6. Step 6: Final answer
    x = 16,984.50

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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.