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Finding the Fourth Proportional to 65,206.40, 89,998.83 and 39,721.16

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Solution

The fourth proportional to 65,206.40, 89,998.83 and 39,721.16 is: 54,823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.40 : 89,998.83 = 39,721.16 : x
  2. Step 2: Convert to fraction form
    65,206.40/89,998.83 = 39,721.16/x
  3. Step 3: Cross multiply
    65,206.40x = 89,998.83 × 39,721.16
  4. Step 4: Simplify right side
    65,206.40x = 3,574,858,151.24
  5. Step 5: Solve for x
    x = 3,574,858,151.24/65,206.40
  6. Step 6: Final answer
    x = 54,823.74

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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.