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Finding the Fourth Proportional to 105,700.50, 158,550.75 and 31,828.50

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Solution

The fourth proportional to 105,700.50, 158,550.75 and 31,828.50 is: 47,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,700.50 : 158,550.75 = 31,828.50 : x
  2. Step 2: Convert to fraction form
    105,700.50/158,550.75 = 31,828.50/x
  3. Step 3: Cross multiply
    105,700.50x = 158,550.75 × 31,828.50
  4. Step 4: Simplify right side
    105,700.50x = 5,046,432,546.38
  5. Step 5: Solve for x
    x = 5,046,432,546.38/105,700.50
  6. Step 6: Final answer
    x = 47,742.75

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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.