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Finding the Fourth Proportional to 76,085.33, 105,020.35 and 49,227.14

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Solution

The fourth proportional to 76,085.33, 105,020.35 and 49,227.14 is: 67,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,085.33 : 105,020.35 = 49,227.14 : x
  2. Step 2: Convert to fraction form
    76,085.33/105,020.35 = 49,227.14/x
  3. Step 3: Cross multiply
    76,085.33x = 105,020.35 × 49,227.14
  4. Step 4: Simplify right side
    76,085.33x = 5,169,851,611.78
  5. Step 5: Solve for x
    x = 5,169,851,611.78/76,085.33
  6. Step 6: Final answer
    x = 67,948.08

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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.