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Finding the Fourth Proportional to 29,285.48, 43,930.91 and 9,564.14

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Solution

The fourth proportional to 29,285.48, 43,930.91 and 9,564.14 is: 14,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,285.48 : 43,930.91 = 9,564.14 : x
  2. Step 2: Convert to fraction form
    29,285.48/43,930.91 = 9,564.14/x
  3. Step 3: Cross multiply
    29,285.48x = 43,930.91 × 9,564.14
  4. Step 4: Simplify right side
    29,285.48x = 420,161,153.91
  5. Step 5: Solve for x
    x = 420,161,153.91/29,285.48
  6. Step 6: Final answer
    x = 14,347.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.