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Finding the Fourth Proportional to 35,134, 52,700.46 and 11,442.64

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Solution

The fourth proportional to 35,134, 52,700.46 and 11,442.64 is: 17,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,134 : 52,700.46 = 11,442.64 : x
  2. Step 2: Convert to fraction form
    35,134/52,700.46 = 11,442.64/x
  3. Step 3: Cross multiply
    35,134x = 52,700.46 × 11,442.64
  4. Step 4: Simplify right side
    35,134x = 603,032,391.61
  5. Step 5: Solve for x
    x = 603,032,391.61/35,134
  6. Step 6: Final answer
    x = 17,163.78

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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.