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Finding the Fourth Proportional to 65,097.75, 89,834.09 and 38,242.71

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Solution

The fourth proportional to 65,097.75, 89,834.09 and 38,242.71 is: 52,774.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,097.75 : 89,834.09 = 38,242.71 : x
  2. Step 2: Convert to fraction form
    65,097.75/89,834.09 = 38,242.71/x
  3. Step 3: Cross multiply
    65,097.75x = 89,834.09 × 38,242.71
  4. Step 4: Simplify right side
    65,097.75x = 3,435,499,051.98
  5. Step 5: Solve for x
    x = 3,435,499,051.98/65,097.75
  6. Step 6: Final answer
    x = 52,774.47

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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.