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Finding the Fourth Proportional to 29,214.89, 43,827.78 and 9,488.15

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Solution

The fourth proportional to 29,214.89, 43,827.78 and 9,488.15 is: 14,233.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,214.89 : 43,827.78 = 9,488.15 : x
  2. Step 2: Convert to fraction form
    29,214.89/43,827.78 = 9,488.15/x
  3. Step 3: Cross multiply
    29,214.89x = 43,827.78 × 9,488.15
  4. Step 4: Simplify right side
    29,214.89x = 415,844,550.81
  5. Step 5: Solve for x
    x = 415,844,550.81/29,214.89
  6. Step 6: Final answer
    x = 14,233.99

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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.