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Finding the Fourth Proportional to 76,401.92, 114,626.35 and 36,471.86

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Solution

The fourth proportional to 76,401.92, 114,626.35 and 36,471.86 is: 54,718.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,401.92 : 114,626.35 = 36,471.86 : x
  2. Step 2: Convert to fraction form
    76,401.92/114,626.35 = 36,471.86/x
  3. Step 3: Cross multiply
    76,401.92x = 114,626.35 × 36,471.86
  4. Step 4: Simplify right side
    76,401.92x = 4,180,636,189.51
  5. Step 5: Solve for x
    x = 4,180,636,189.51/76,401.92
  6. Step 6: Final answer
    x = 54,718.99

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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.