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Finding the Fourth Proportional to 29,184.76, 43,784.34 and 8,408.08

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Solution

The fourth proportional to 29,184.76, 43,784.34 and 8,408.08 is: 12,614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184.76 : 43,784.34 = 8,408.08 : x
  2. Step 2: Convert to fraction form
    29,184.76/43,784.34 = 8,408.08/x
  3. Step 3: Cross multiply
    29,184.76x = 43,784.34 × 8,408.08
  4. Step 4: Simplify right side
    29,184.76x = 368,142,233.47
  5. Step 5: Solve for x
    x = 368,142,233.47/29,184.76
  6. Step 6: Final answer
    x = 12,614.19

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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.