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Finding the Fourth Proportional to 82,999.11, 114,539.37 and 47,187

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Solution

The fourth proportional to 82,999.11, 114,539.37 and 47,187 is: 65,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,999.11 : 114,539.37 = 47,187 : x
  2. Step 2: Convert to fraction form
    82,999.11/114,539.37 = 47,187/x
  3. Step 3: Cross multiply
    82,999.11x = 114,539.37 × 47,187
  4. Step 4: Simplify right side
    82,999.11x = 5,404,769,252.19
  5. Step 5: Solve for x
    x = 5,404,769,252.19/82,999.11
  6. Step 6: Final answer
    x = 65,118.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.