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Finding the Fourth Proportional to 65,578.72, 90,490.08 and 37,283.80

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Solution

The fourth proportional to 65,578.72, 90,490.08 and 37,283.80 is: 51,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,578.72 : 90,490.08 = 37,283.80 : x
  2. Step 2: Convert to fraction form
    65,578.72/90,490.08 = 37,283.80/x
  3. Step 3: Cross multiply
    65,578.72x = 90,490.08 × 37,283.80
  4. Step 4: Simplify right side
    65,578.72x = 3,373,814,044.70
  5. Step 5: Solve for x
    x = 3,373,814,044.70/65,578.72
  6. Step 6: Final answer
    x = 51,446.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.