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Finding the Fourth Proportional to 34,409.14, 51,661.50 and 17,781.46

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Solution

The fourth proportional to 34,409.14, 51,661.50 and 17,781.46 is: 26,696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,409.14 : 51,661.50 = 17,781.46 : x
  2. Step 2: Convert to fraction form
    34,409.14/51,661.50 = 17,781.46/x
  3. Step 3: Cross multiply
    34,409.14x = 51,661.50 × 17,781.46
  4. Step 4: Simplify right side
    34,409.14x = 918,616,895.79
  5. Step 5: Solve for x
    x = 918,616,895.79/34,409.14
  6. Step 6: Final answer
    x = 26,696.89

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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.