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Finding the Fourth Proportional to 49,306.66, 73,978.62 and 29,598.95

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Solution

The fourth proportional to 49,306.66, 73,978.62 and 29,598.95 is: 44,409.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,306.66 : 73,978.62 = 29,598.95 : x
  2. Step 2: Convert to fraction form
    49,306.66/73,978.62 = 29,598.95/x
  3. Step 3: Cross multiply
    49,306.66x = 73,978.62 × 29,598.95
  4. Step 4: Simplify right side
    49,306.66x = 2,189,689,548.40
  5. Step 5: Solve for x
    x = 2,189,689,548.40/49,306.66
  6. Step 6: Final answer
    x = 44,409.61

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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.