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Finding the Fourth Proportional to 82,167.88, 113,391.54 and 46,357.80

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Solution

The fourth proportional to 82,167.88, 113,391.54 and 46,357.80 is: 63,973.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,167.88 : 113,391.54 = 46,357.80 : x
  2. Step 2: Convert to fraction form
    82,167.88/113,391.54 = 46,357.80/x
  3. Step 3: Cross multiply
    82,167.88x = 113,391.54 × 46,357.80
  4. Step 4: Simplify right side
    82,167.88x = 5,256,582,333.01
  5. Step 5: Solve for x
    x = 5,256,582,333.01/82,167.88
  6. Step 6: Final answer
    x = 63,973.69

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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.