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Finding the Fourth Proportional to 29,793.12, 44,689.62 and 7,606.50

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Solution

The fourth proportional to 29,793.12, 44,689.62 and 7,606.50 is: 11,409.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,793.12 : 44,689.62 = 7,606.50 : x
  2. Step 2: Convert to fraction form
    29,793.12/44,689.62 = 7,606.50/x
  3. Step 3: Cross multiply
    29,793.12x = 44,689.62 × 7,606.50
  4. Step 4: Simplify right side
    29,793.12x = 339,931,455.47
  5. Step 5: Solve for x
    x = 339,931,455.47/29,793.12
  6. Step 6: Final answer
    x = 11,409.73

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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.