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Finding the Fourth Proportional to 82,842.72, 114,316.19 and 46,542.19

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Solution

The fourth proportional to 82,842.72, 114,316.19 and 46,542.19 is: 64,224.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.72 : 114,316.19 = 46,542.19 : x
  2. Step 2: Convert to fraction form
    82,842.72/114,316.19 = 46,542.19/x
  3. Step 3: Cross multiply
    82,842.72x = 114,316.19 × 46,542.19
  4. Step 4: Simplify right side
    82,842.72x = 5,320,525,316.55
  5. Step 5: Solve for x
    x = 5,320,525,316.55/82,842.72
  6. Step 6: Final answer
    x = 64,224.42

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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.