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Finding the Fourth Proportional to 36,474.53, 54,703.89 and 9,819.86

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Solution

The fourth proportional to 36,474.53, 54,703.89 and 9,819.86 is: 14,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474.53 : 54,703.89 = 9,819.86 : x
  2. Step 2: Convert to fraction form
    36,474.53/54,703.89 = 9,819.86/x
  3. Step 3: Cross multiply
    36,474.53x = 54,703.89 × 9,819.86
  4. Step 4: Simplify right side
    36,474.53x = 537,184,541.26
  5. Step 5: Solve for x
    x = 537,184,541.26/36,474.53
  6. Step 6: Final answer
    x = 14,727.66

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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.