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Finding the Fourth Proportional to 34,842.75, 48,097.71 and 23,527.57

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Solution

The fourth proportional to 34,842.75, 48,097.71 and 23,527.57 is: 32,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842.75 : 48,097.71 = 23,527.57 : x
  2. Step 2: Convert to fraction form
    34,842.75/48,097.71 = 23,527.57/x
  3. Step 3: Cross multiply
    34,842.75x = 48,097.71 × 23,527.57
  4. Step 4: Simplify right side
    34,842.75x = 1,131,621,880.74
  5. Step 5: Solve for x
    x = 1,131,621,880.74/34,842.75
  6. Step 6: Final answer
    x = 32,477.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.