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Finding the Fourth Proportional to 65,814.25, 90,823.41 and 35,599.66

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Solution

The fourth proportional to 65,814.25, 90,823.41 and 35,599.66 is: 49,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,814.25 : 90,823.41 = 35,599.66 : x
  2. Step 2: Convert to fraction form
    65,814.25/90,823.41 = 35,599.66/x
  3. Step 3: Cross multiply
    65,814.25x = 90,823.41 × 35,599.66
  4. Step 4: Simplify right side
    65,814.25x = 3,233,282,516.04
  5. Step 5: Solve for x
    x = 3,233,282,516.04/65,814.25
  6. Step 6: Final answer
    x = 49,127.39

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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.