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Finding the Fourth Proportional to 82,270.86, 113,527.32 and 46,464.42

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Solution

The fourth proportional to 82,270.86, 113,527.32 and 46,464.42 is: 64,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,270.86 : 113,527.32 = 46,464.42 : x
  2. Step 2: Convert to fraction form
    82,270.86/113,527.32 = 46,464.42/x
  3. Step 3: Cross multiply
    82,270.86x = 113,527.32 × 46,464.42
  4. Step 4: Simplify right side
    82,270.86x = 5,274,981,077.95
  5. Step 5: Solve for x
    x = 5,274,981,077.95/82,270.86
  6. Step 6: Final answer
    x = 64,117.25

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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.