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Finding the Fourth Proportional to 30,589.92, 45,876.06 and 8,404.02

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Solution

The fourth proportional to 30,589.92, 45,876.06 and 8,404.02 is: 12,603.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.92 : 45,876.06 = 8,404.02 : x
  2. Step 2: Convert to fraction form
    30,589.92/45,876.06 = 8,404.02/x
  3. Step 3: Cross multiply
    30,589.92x = 45,876.06 × 8,404.02
  4. Step 4: Simplify right side
    30,589.92x = 385,543,325.76
  5. Step 5: Solve for x
    x = 385,543,325.76/30,589.92
  6. Step 6: Final answer
    x = 12,603.61

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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.