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Finding the Fourth Proportional to 35,122.24, 52,711.04 and 15,414.40

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Solution

The fourth proportional to 35,122.24, 52,711.04 and 15,414.40 is: 23,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,122.24 : 52,711.04 = 15,414.40 : x
  2. Step 2: Convert to fraction form
    35,122.24/52,711.04 = 15,414.40/x
  3. Step 3: Cross multiply
    35,122.24x = 52,711.04 × 15,414.40
  4. Step 4: Simplify right side
    35,122.24x = 812,509,054.98
  5. Step 5: Solve for x
    x = 812,509,054.98/35,122.24
  6. Step 6: Final answer
    x = 23,133.75

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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.