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Finding the Fourth Proportional to 111,688.60, 167,553.65 and 36,814

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Solution

The fourth proportional to 111,688.60, 167,553.65 and 36,814 is: 55,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,688.60 : 167,553.65 = 36,814 : x
  2. Step 2: Convert to fraction form
    111,688.60/167,553.65 = 36,814/x
  3. Step 3: Cross multiply
    111,688.60x = 167,553.65 × 36,814
  4. Step 4: Simplify right side
    111,688.60x = 6,168,320,071.10
  5. Step 5: Solve for x
    x = 6,168,320,071.10/111,688.60
  6. Step 6: Final answer
    x = 55,227.84

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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.