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Finding the Fourth Proportional to 29,957, 44,935.30 and 7,770.32

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Solution

The fourth proportional to 29,957, 44,935.30 and 7,770.32 is: 11,655.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957 : 44,935.30 = 7,770.32 : x
  2. Step 2: Convert to fraction form
    29,957/44,935.30 = 7,770.32/x
  3. Step 3: Cross multiply
    29,957x = 44,935.30 × 7,770.32
  4. Step 4: Simplify right side
    29,957x = 349,161,660.30
  5. Step 5: Solve for x
    x = 349,161,660.30/29,957
  6. Step 6: Final answer
    x = 11,655.43

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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.