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Finding the Fourth Proportional to 53,826.88, 80,715.36 and 29,794.88

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Solution

The fourth proportional to 53,826.88, 80,715.36 and 29,794.88 is: 44,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,826.88 : 80,715.36 = 29,794.88 : x
  2. Step 2: Convert to fraction form
    53,826.88/80,715.36 = 29,794.88/x
  3. Step 3: Cross multiply
    53,826.88x = 80,715.36 × 29,794.88
  4. Step 4: Simplify right side
    53,826.88x = 2,404,904,465.36
  5. Step 5: Solve for x
    x = 2,404,904,465.36/53,826.88
  6. Step 6: Final answer
    x = 44,678.50

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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.