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Finding the Fourth Proportional to 29,826.78, 44,750.64 and 13,184.64

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Solution

The fourth proportional to 29,826.78, 44,750.64 and 13,184.64 is: 19,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,826.78 : 44,750.64 = 13,184.64 : x
  2. Step 2: Convert to fraction form
    29,826.78/44,750.64 = 13,184.64/x
  3. Step 3: Cross multiply
    29,826.78x = 44,750.64 × 13,184.64
  4. Step 4: Simplify right side
    29,826.78x = 590,021,078.17
  5. Step 5: Solve for x
    x = 590,021,078.17/29,826.78
  6. Step 6: Final answer
    x = 19,781.59

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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.