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Finding the Fourth Proportional to 35,105.92, 52,658.98 and 10,148.00

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Solution

The fourth proportional to 35,105.92, 52,658.98 and 10,148.00 is: 15,222.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,105.92 : 52,658.98 = 10,148.00 : x
  2. Step 2: Convert to fraction form
    35,105.92/52,658.98 = 10,148.00/x
  3. Step 3: Cross multiply
    35,105.92x = 52,658.98 × 10,148.00
  4. Step 4: Simplify right side
    35,105.92x = 534,383,040.38
  5. Step 5: Solve for x
    x = 534,383,040.38/35,105.92
  6. Step 6: Final answer
    x = 15,222.02

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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.