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Finding the Fourth Proportional to 34,842.25, 48,097.01 and 23,527.07

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Solution

The fourth proportional to 34,842.25, 48,097.01 and 23,527.07 is: 32,477.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842.25 : 48,097.01 = 23,527.07 : x
  2. Step 2: Convert to fraction form
    34,842.25/48,097.01 = 23,527.07/x
  3. Step 3: Cross multiply
    34,842.25x = 48,097.01 × 23,527.07
  4. Step 4: Simplify right side
    34,842.25x = 1,131,581,539.39
  5. Step 5: Solve for x
    x = 1,131,581,539.39/34,842.25
  6. Step 6: Final answer
    x = 32,477.28

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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.