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Finding the Fourth Proportional to 65,737.69, 90,717.97 and 35,523

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Solution

The fourth proportional to 65,737.69, 90,717.97 and 35,523 is: 49,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,737.69 : 90,717.97 = 35,523 : x
  2. Step 2: Convert to fraction form
    65,737.69/90,717.97 = 35,523/x
  3. Step 3: Cross multiply
    65,737.69x = 90,717.97 × 35,523
  4. Step 4: Simplify right side
    65,737.69x = 3,222,574,448.31
  5. Step 5: Solve for x
    x = 3,222,574,448.31/65,737.69
  6. Step 6: Final answer
    x = 49,021.72

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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.