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Finding the Fourth Proportional to 29,269.77, 43,914.51 and 9,282.54

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Solution

The fourth proportional to 29,269.77, 43,914.51 and 9,282.54 is: 13,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,269.77 : 43,914.51 = 9,282.54 : x
  2. Step 2: Convert to fraction form
    29,269.77/43,914.51 = 9,282.54/x
  3. Step 3: Cross multiply
    29,269.77x = 43,914.51 × 9,282.54
  4. Step 4: Simplify right side
    29,269.77x = 407,638,195.66
  5. Step 5: Solve for x
    x = 407,638,195.66/29,269.77
  6. Step 6: Final answer
    x = 13,926.94

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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.