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Finding the Fourth Proportional to 110,981.46, 166,473.74 and 36,102.00

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Solution

The fourth proportional to 110,981.46, 166,473.74 and 36,102.00 is: 54,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,981.46 : 166,473.74 = 36,102.00 : x
  2. Step 2: Convert to fraction form
    110,981.46/166,473.74 = 36,102.00/x
  3. Step 3: Cross multiply
    110,981.46x = 166,473.74 × 36,102.00
  4. Step 4: Simplify right side
    110,981.46x = 6,010,035,472.94
  5. Step 5: Solve for x
    x = 6,010,035,472.94/110,981.46
  6. Step 6: Final answer
    x = 54,153.51

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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.