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Finding the Fourth Proportional to 82,340.32, 113,628.12 and 46,529.56

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Solution

The fourth proportional to 82,340.32, 113,628.12 and 46,529.56 is: 64,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,340.32 : 113,628.12 = 46,529.56 : x
  2. Step 2: Convert to fraction form
    82,340.32/113,628.12 = 46,529.56/x
  3. Step 3: Cross multiply
    82,340.32x = 113,628.12 × 46,529.56
  4. Step 4: Simplify right side
    82,340.32x = 5,287,066,427.23
  5. Step 5: Solve for x
    x = 5,287,066,427.23/82,340.32
  6. Step 6: Final answer
    x = 64,209.93

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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.