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Finding the Fourth Proportional to 96,842.84, 133,635 and 53,823.56

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Solution

The fourth proportional to 96,842.84, 133,635 and 53,823.56 is: 74,272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,842.84 : 133,635 = 53,823.56 : x
  2. Step 2: Convert to fraction form
    96,842.84/133,635 = 53,823.56/x
  3. Step 3: Cross multiply
    96,842.84x = 133,635 × 53,823.56
  4. Step 4: Simplify right side
    96,842.84x = 7,192,711,440.60
  5. Step 5: Solve for x
    x = 7,192,711,440.60/96,842.84
  6. Step 6: Final answer
    x = 74,272.00

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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.