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Finding the Fourth Proportional to 82,842.66, 114,326.11 and 47,036

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Solution

The fourth proportional to 82,842.66, 114,326.11 and 47,036 is: 64,911.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,842.66 : 114,326.11 = 47,036 : x
  2. Step 2: Convert to fraction form
    82,842.66/114,326.11 = 47,036/x
  3. Step 3: Cross multiply
    82,842.66x = 114,326.11 × 47,036
  4. Step 4: Simplify right side
    82,842.66x = 5,377,442,674.78
  5. Step 5: Solve for x
    x = 5,377,442,674.78/82,842.66
  6. Step 6: Final answer
    x = 64,911.52

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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.