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Finding the Fourth Proportional to 82,932.48, 114,449.76 and 47,124

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Solution

The fourth proportional to 82,932.48, 114,449.76 and 47,124 is: 65,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,932.48 : 114,449.76 = 47,124 : x
  2. Step 2: Convert to fraction form
    82,932.48/114,449.76 = 47,124/x
  3. Step 3: Cross multiply
    82,932.48x = 114,449.76 × 47,124
  4. Step 4: Simplify right side
    82,932.48x = 5,393,330,490.24
  5. Step 5: Solve for x
    x = 5,393,330,490.24/82,932.48
  6. Step 6: Final answer
    x = 65,032.79

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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.