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Finding the Fourth Proportional to 105,108.15, 157,662.23 and 31,236.15

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Solution

The fourth proportional to 105,108.15, 157,662.23 and 31,236.15 is: 46,854.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,108.15 : 157,662.23 = 31,236.15 : x
  2. Step 2: Convert to fraction form
    105,108.15/157,662.23 = 31,236.15/x
  3. Step 3: Cross multiply
    105,108.15x = 157,662.23 × 31,236.15
  4. Step 4: Simplify right side
    105,108.15x = 4,924,760,909.43
  5. Step 5: Solve for x
    x = 4,924,760,909.43/105,108.15
  6. Step 6: Final answer
    x = 46,854.23

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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.