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Finding the Fourth Proportional to 82,200.30, 113,434.44 and 46,391.82

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Solution

The fourth proportional to 82,200.30, 113,434.44 and 46,391.82 is: 64,019.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,200.30 : 113,434.44 = 46,391.82 : x
  2. Step 2: Convert to fraction form
    82,200.30/113,434.44 = 46,391.82/x
  3. Step 3: Cross multiply
    82,200.30x = 113,434.44 × 46,391.82
  4. Step 4: Simplify right side
    82,200.30x = 5,262,430,122.28
  5. Step 5: Solve for x
    x = 5,262,430,122.28/82,200.30
  6. Step 6: Final answer
    x = 64,019.60

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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.