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Finding the Fourth Proportional to 65,206.92, 97,809.51 and 20,833.08

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Solution

The fourth proportional to 65,206.92, 97,809.51 and 20,833.08 is: 31,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,206.92 : 97,809.51 = 20,833.08 : x
  2. Step 2: Convert to fraction form
    65,206.92/97,809.51 = 20,833.08/x
  3. Step 3: Cross multiply
    65,206.92x = 97,809.51 × 20,833.08
  4. Step 4: Simplify right side
    65,206.92x = 2,037,673,346.59
  5. Step 5: Solve for x
    x = 2,037,673,346.59/65,206.92
  6. Step 6: Final answer
    x = 31,249.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.