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Finding the Fourth Proportional to 65,026.68, 89,736.94 and 35,218.68

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Solution

The fourth proportional to 65,026.68, 89,736.94 and 35,218.68 is: 48,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,026.68 : 89,736.94 = 35,218.68 : x
  2. Step 2: Convert to fraction form
    65,026.68/89,736.94 = 35,218.68/x
  3. Step 3: Cross multiply
    65,026.68x = 89,736.94 × 35,218.68
  4. Step 4: Simplify right side
    65,026.68x = 3,160,416,574.04
  5. Step 5: Solve for x
    x = 3,160,416,574.04/65,026.68
  6. Step 6: Final answer
    x = 48,601.84

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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.