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Finding the Fourth Proportional to 102,114.35, 153,171.59 and 31,999.13

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Solution

The fourth proportional to 102,114.35, 153,171.59 and 31,999.13 is: 47,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.35 : 153,171.59 = 31,999.13 : x
  2. Step 2: Convert to fraction form
    102,114.35/153,171.59 = 31,999.13/x
  3. Step 3: Cross multiply
    102,114.35x = 153,171.59 × 31,999.13
  4. Step 4: Simplify right side
    102,114.35x = 4,901,356,694.86
  5. Step 5: Solve for x
    x = 4,901,356,694.86/102,114.35
  6. Step 6: Final answer
    x = 47,998.71

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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.