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Finding the Fourth Proportional to 105,732, 158,598 and 31,860

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Solution

The fourth proportional to 105,732, 158,598 and 31,860 is: 47,790

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,732 : 158,598 = 31,860 : x
  2. Step 2: Convert to fraction form
    105,732/158,598 = 31,860/x
  3. Step 3: Cross multiply
    105,732x = 158,598 × 31,860
  4. Step 4: Simplify right side
    105,732x = 5,052,932,280
  5. Step 5: Solve for x
    x = 5,052,932,280/105,732
  6. Step 6: Final answer
    x = 47,790

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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.