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Finding the Fourth Proportional to 82,527.81, 113,891.11 and 46,717.08

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Solution

The fourth proportional to 82,527.81, 113,891.11 and 46,717.08 is: 64,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,527.81 : 113,891.11 = 46,717.08 : x
  2. Step 2: Convert to fraction form
    82,527.81/113,891.11 = 46,717.08/x
  3. Step 3: Cross multiply
    82,527.81x = 113,891.11 × 46,717.08
  4. Step 4: Simplify right side
    82,527.81x = 5,320,659,980.37
  5. Step 5: Solve for x
    x = 5,320,659,980.37/82,527.81
  6. Step 6: Final answer
    x = 64,471.12

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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.