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Finding the Fourth Proportional to 35,711.96, 49,283 and 19,580.78

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Solution

The fourth proportional to 35,711.96, 49,283 and 19,580.78 is: 27,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.96 : 49,283 = 19,580.78 : x
  2. Step 2: Convert to fraction form
    35,711.96/49,283 = 19,580.78/x
  3. Step 3: Cross multiply
    35,711.96x = 49,283 × 19,580.78
  4. Step 4: Simplify right side
    35,711.96x = 964,999,580.74
  5. Step 5: Solve for x
    x = 964,999,580.74/35,711.96
  6. Step 6: Final answer
    x = 27,021.75

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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.