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Finding the Fourth Proportional to 64,105.31, 88,465.37 and 35,811

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Solution

The fourth proportional to 64,105.31, 88,465.37 and 35,811 is: 49,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,105.31 : 88,465.37 = 35,811 : x
  2. Step 2: Convert to fraction form
    64,105.31/88,465.37 = 35,811/x
  3. Step 3: Cross multiply
    64,105.31x = 88,465.37 × 35,811
  4. Step 4: Simplify right side
    64,105.31x = 3,168,033,186.02
  5. Step 5: Solve for x
    x = 3,168,033,186.02/64,105.31
  6. Step 6: Final answer
    x = 49,419.20

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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.