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Finding the Fourth Proportional to 34,882.42, 52,323.64 and 10,258.42

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Solution

The fourth proportional to 34,882.42, 52,323.64 and 10,258.42 is: 15,387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882.42 : 52,323.64 = 10,258.42 : x
  2. Step 2: Convert to fraction form
    34,882.42/52,323.64 = 10,258.42/x
  3. Step 3: Cross multiply
    34,882.42x = 52,323.64 × 10,258.42
  4. Step 4: Simplify right side
    34,882.42x = 536,757,875.05
  5. Step 5: Solve for x
    x = 536,757,875.05/34,882.42
  6. Step 6: Final answer
    x = 15,387.63

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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.