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Finding the Fourth Proportional to 65,386.90, 90,231.19 and 37,097.92

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Solution

The fourth proportional to 65,386.90, 90,231.19 and 37,097.92 is: 51,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.90 : 90,231.19 = 37,097.92 : x
  2. Step 2: Convert to fraction form
    65,386.90/90,231.19 = 37,097.92/x
  3. Step 3: Cross multiply
    65,386.90x = 90,231.19 × 37,097.92
  4. Step 4: Simplify right side
    65,386.90x = 3,347,389,468.12
  5. Step 5: Solve for x
    x = 3,347,389,468.12/65,386.90
  6. Step 6: Final answer
    x = 51,193.58

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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.