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Finding the Fourth Proportional to 36,701.64, 55,061.55 and 10,406.61

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Solution

The fourth proportional to 36,701.64, 55,061.55 and 10,406.61 is: 15,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,701.64 : 55,061.55 = 10,406.61 : x
  2. Step 2: Convert to fraction form
    36,701.64/55,061.55 = 10,406.61/x
  3. Step 3: Cross multiply
    36,701.64x = 55,061.55 × 10,406.61
  4. Step 4: Simplify right side
    36,701.64x = 573,004,076.85
  5. Step 5: Solve for x
    x = 573,004,076.85/36,701.64
  6. Step 6: Final answer
    x = 15,612.49

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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.