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Finding the Fourth Proportional to 29,837.52, 44,744.53 and 10,857.64

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Solution

The fourth proportional to 29,837.52, 44,744.53 and 10,857.64 is: 16,282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,837.52 : 44,744.53 = 10,857.64 : x
  2. Step 2: Convert to fraction form
    29,837.52/44,744.53 = 10,857.64/x
  3. Step 3: Cross multiply
    29,837.52x = 44,744.53 × 10,857.64
  4. Step 4: Simplify right side
    29,837.52x = 485,819,998.71
  5. Step 5: Solve for x
    x = 485,819,998.71/29,837.52
  6. Step 6: Final answer
    x = 16,282.18

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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.