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Finding the Fourth Proportional to 29,977.92, 44,953.92 and 9,196.56

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Solution

The fourth proportional to 29,977.92, 44,953.92 and 9,196.56 is: 13,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.92 : 44,953.92 = 9,196.56 : x
  2. Step 2: Convert to fraction form
    29,977.92/44,953.92 = 9,196.56/x
  3. Step 3: Cross multiply
    29,977.92x = 44,953.92 × 9,196.56
  4. Step 4: Simplify right side
    29,977.92x = 413,421,422.52
  5. Step 5: Solve for x
    x = 413,421,422.52/29,977.92
  6. Step 6: Final answer
    x = 13,790.86

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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.