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Finding the Fourth Proportional to 65,897.41, 90,938.60 and 35,683.11

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Solution

The fourth proportional to 65,897.41, 90,938.60 and 35,683.11 is: 49,242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897.41 : 90,938.60 = 35,683.11 : x
  2. Step 2: Convert to fraction form
    65,897.41/90,938.60 = 35,683.11/x
  3. Step 3: Cross multiply
    65,897.41x = 90,938.60 × 35,683.11
  4. Step 4: Simplify right side
    65,897.41x = 3,244,972,067.05
  5. Step 5: Solve for x
    x = 3,244,972,067.05/65,897.41
  6. Step 6: Final answer
    x = 49,242.79

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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.