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Finding the Fourth Proportional to 30,314.50, 41,834.01 and 17,066.50

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Solution

The fourth proportional to 30,314.50, 41,834.01 and 17,066.50 is: 23,551.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,314.50 : 41,834.01 = 17,066.50 : x
  2. Step 2: Convert to fraction form
    30,314.50/41,834.01 = 17,066.50/x
  3. Step 3: Cross multiply
    30,314.50x = 41,834.01 × 17,066.50
  4. Step 4: Simplify right side
    30,314.50x = 713,960,131.67
  5. Step 5: Solve for x
    x = 713,960,131.67/30,314.50
  6. Step 6: Final answer
    x = 23,551.77

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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.