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Finding the Fourth Proportional to 65,409.32, 90,262.14 and 37,116.56

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Solution

The fourth proportional to 65,409.32, 90,262.14 and 37,116.56 is: 51,219.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,409.32 : 90,262.14 = 37,116.56 : x
  2. Step 2: Convert to fraction form
    65,409.32/90,262.14 = 37,116.56/x
  3. Step 3: Cross multiply
    65,409.32x = 90,262.14 × 37,116.56
  4. Step 4: Simplify right side
    65,409.32x = 3,350,220,135.04
  5. Step 5: Solve for x
    x = 3,350,220,135.04/65,409.32
  6. Step 6: Final answer
    x = 51,219.31

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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.