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Finding the Fourth Proportional to 29,957, 44,935.50 and 8,069

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Solution

The fourth proportional to 29,957, 44,935.50 and 8,069 is: 12,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957 : 44,935.50 = 8,069 : x
  2. Step 2: Convert to fraction form
    29,957/44,935.50 = 8,069/x
  3. Step 3: Cross multiply
    29,957x = 44,935.50 × 8,069
  4. Step 4: Simplify right side
    29,957x = 362,584,549.50
  5. Step 5: Solve for x
    x = 362,584,549.50/29,957
  6. Step 6: Final answer
    x = 12,103.50

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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.