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Finding the Fourth Proportional to 82,284.16, 113,552.22 and 46,474.24

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Solution

The fourth proportional to 82,284.16, 113,552.22 and 46,474.24 is: 64,134.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,284.16 : 113,552.22 = 46,474.24 : x
  2. Step 2: Convert to fraction form
    82,284.16/113,552.22 = 46,474.24/x
  3. Step 3: Cross multiply
    82,284.16x = 113,552.22 × 46,474.24
  4. Step 4: Simplify right side
    82,284.16x = 5,277,253,124.81
  5. Step 5: Solve for x
    x = 5,277,253,124.81/82,284.16
  6. Step 6: Final answer
    x = 64,134.50

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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.