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Finding the Fourth Proportional to 29,259.57, 43,893 and 9,532.83

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Solution

The fourth proportional to 29,259.57, 43,893 and 9,532.83 is: 14,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,259.57 : 43,893 = 9,532.83 : x
  2. Step 2: Convert to fraction form
    29,259.57/43,893 = 9,532.83/x
  3. Step 3: Cross multiply
    29,259.57x = 43,893 × 9,532.83
  4. Step 4: Simplify right side
    29,259.57x = 418,424,507.19
  5. Step 5: Solve for x
    x = 418,424,507.19/29,259.57
  6. Step 6: Final answer
    x = 14,300.43

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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.