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Finding the Fourth Proportional to 82,197.30, 113,430.33 and 46,388.82

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Solution

The fourth proportional to 82,197.30, 113,430.33 and 46,388.82 is: 64,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,197.30 : 113,430.33 = 46,388.82 : x
  2. Step 2: Convert to fraction form
    82,197.30/113,430.33 = 46,388.82/x
  3. Step 3: Cross multiply
    82,197.30x = 113,430.33 × 46,388.82
  4. Step 4: Simplify right side
    82,197.30x = 5,261,899,160.91
  5. Step 5: Solve for x
    x = 5,261,899,160.91/82,197.30
  6. Step 6: Final answer
    x = 64,015.47

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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.