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Finding the Fourth Proportional to 96,282.95, 144,389.05 and 33,085.15

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Solution

The fourth proportional to 96,282.95, 144,389.05 and 33,085.15 is: 49,615.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,282.95 : 144,389.05 = 33,085.15 : x
  2. Step 2: Convert to fraction form
    96,282.95/144,389.05 = 33,085.15/x
  3. Step 3: Cross multiply
    96,282.95x = 144,389.05 × 33,085.15
  4. Step 4: Simplify right side
    96,282.95x = 4,777,133,377.61
  5. Step 5: Solve for x
    x = 4,777,133,377.61/96,282.95
  6. Step 6: Final answer
    x = 49,615.57

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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.