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Finding the Fourth Proportional to 111,397.13, 167,105.56 and 31,435.81

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Solution

The fourth proportional to 111,397.13, 167,105.56 and 31,435.81 is: 47,156.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,397.13 : 167,105.56 = 31,435.81 : x
  2. Step 2: Convert to fraction form
    111,397.13/167,105.56 = 31,435.81/x
  3. Step 3: Cross multiply
    111,397.13x = 167,105.56 × 31,435.81
  4. Step 4: Simplify right side
    111,397.13x = 5,253,097,641.40
  5. Step 5: Solve for x
    x = 5,253,097,641.40/111,397.13
  6. Step 6: Final answer
    x = 47,156.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.