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Finding the Fourth Proportional to 65,386.97, 90,243.21 and 38,171.98

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Solution

The fourth proportional to 65,386.97, 90,243.21 and 38,171.98 is: 52,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.97 : 90,243.21 = 38,171.98 : x
  2. Step 2: Convert to fraction form
    65,386.97/90,243.21 = 38,171.98/x
  3. Step 3: Cross multiply
    65,386.97x = 90,243.21 × 38,171.98
  4. Step 4: Simplify right side
    65,386.97x = 3,444,762,007.26
  5. Step 5: Solve for x
    x = 3,444,762,007.26/65,386.97
  6. Step 6: Final answer
    x = 52,682.70

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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.