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Finding the Fourth Proportional to 37,313.92, 55,977.48 and 12,347.20

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Solution

The fourth proportional to 37,313.92, 55,977.48 and 12,347.20 is: 18,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,313.92 : 55,977.48 = 12,347.20 : x
  2. Step 2: Convert to fraction form
    37,313.92/55,977.48 = 12,347.20/x
  3. Step 3: Cross multiply
    37,313.92x = 55,977.48 × 12,347.20
  4. Step 4: Simplify right side
    37,313.92x = 691,165,141.06
  5. Step 5: Solve for x
    x = 691,165,141.06/37,313.92
  6. Step 6: Final answer
    x = 18,522.98

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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.