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Finding the Fourth Proportional to 65,897.92, 90,939.30 and 35,683.60

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Solution

The fourth proportional to 65,897.92, 90,939.30 and 35,683.60 is: 49,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.92 : 90,939.30 = 35,683.60 : x
  2. Step 2: Convert to fraction form
    65,897.92/90,939.30 = 35,683.60/x
  3. Step 3: Cross multiply
    65,897.92x = 90,939.30 × 35,683.60
  4. Step 4: Simplify right side
    65,897.92x = 3,245,041,605.48
  5. Step 5: Solve for x
    x = 3,245,041,605.48/65,897.92
  6. Step 6: Final answer
    x = 49,243.46

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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.