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Finding the Fourth Proportional to 65,507.30, 90,389.02 and 36,823.17

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Solution

The fourth proportional to 65,507.30, 90,389.02 and 36,823.17 is: 50,809.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.30 : 90,389.02 = 36,823.17 : x
  2. Step 2: Convert to fraction form
    65,507.30/90,389.02 = 36,823.17/x
  3. Step 3: Cross multiply
    65,507.30x = 90,389.02 × 36,823.17
  4. Step 4: Simplify right side
    65,507.30x = 3,328,410,065.48
  5. Step 5: Solve for x
    x = 3,328,410,065.48/65,507.30
  6. Step 6: Final answer
    x = 50,809.76

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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.