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Finding the Fourth Proportional to 65,578.70, 90,483.91 and 38,706.80

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Solution

The fourth proportional to 65,578.70, 90,483.91 and 38,706.80 is: 53,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,578.70 : 90,483.91 = 38,706.80 : x
  2. Step 2: Convert to fraction form
    65,578.70/90,483.91 = 38,706.80/x
  3. Step 3: Cross multiply
    65,578.70x = 90,483.91 × 38,706.80
  4. Step 4: Simplify right side
    65,578.70x = 3,502,342,167.26
  5. Step 5: Solve for x
    x = 3,502,342,167.26/65,578.70
  6. Step 6: Final answer
    x = 53,406.71

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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.