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Finding the Fourth Proportional to 65,370.48, 90,215.76 and 37,078

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Solution

The fourth proportional to 65,370.48, 90,215.76 and 37,078 is: 51,170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,370.48 : 90,215.76 = 37,078 : x
  2. Step 2: Convert to fraction form
    65,370.48/90,215.76 = 37,078/x
  3. Step 3: Cross multiply
    65,370.48x = 90,215.76 × 37,078
  4. Step 4: Simplify right side
    65,370.48x = 3,345,019,949.28
  5. Step 5: Solve for x
    x = 3,345,019,949.28/65,370.48
  6. Step 6: Final answer
    x = 51,170.19

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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.