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Finding the Fourth Proportional to 65,698, 90,663.24 and 35,890

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Solution

The fourth proportional to 65,698, 90,663.24 and 35,890 is: 49,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,698 : 90,663.24 = 35,890 : x
  2. Step 2: Convert to fraction form
    65,698/90,663.24 = 35,890/x
  3. Step 3: Cross multiply
    65,698x = 90,663.24 × 35,890
  4. Step 4: Simplify right side
    65,698x = 3,253,903,683.60
  5. Step 5: Solve for x
    x = 3,253,903,683.60/65,698
  6. Step 6: Final answer
    x = 49,528.20

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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.