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Finding the Fourth Proportional to 82,163.36, 113,382.60 and 46,352

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Solution

The fourth proportional to 82,163.36, 113,382.60 and 46,352 is: 63,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.36 : 113,382.60 = 46,352 : x
  2. Step 2: Convert to fraction form
    82,163.36/113,382.60 = 46,352/x
  3. Step 3: Cross multiply
    82,163.36x = 113,382.60 × 46,352
  4. Step 4: Simplify right side
    82,163.36x = 5,255,510,275.20
  5. Step 5: Solve for x
    x = 5,255,510,275.20/82,163.36
  6. Step 6: Final answer
    x = 63,964.16

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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.