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Finding the Fourth Proportional to 82,268.96, 113,530.38 and 46,458.32

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Solution

The fourth proportional to 82,268.96, 113,530.38 and 46,458.32 is: 64,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,268.96 : 113,530.38 = 46,458.32 : x
  2. Step 2: Convert to fraction form
    82,268.96/113,530.38 = 46,458.32/x
  3. Step 3: Cross multiply
    82,268.96x = 113,530.38 × 46,458.32
  4. Step 4: Simplify right side
    82,268.96x = 5,274,430,723.76
  5. Step 5: Solve for x
    x = 5,274,430,723.76/82,268.96
  6. Step 6: Final answer
    x = 64,112.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.