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Finding the Fourth Proportional to 82,816.72, 114,272.04 and 47,008.24

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Solution

The fourth proportional to 82,816.72, 114,272.04 and 47,008.24 is: 64,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,816.72 : 114,272.04 = 47,008.24 : x
  2. Step 2: Convert to fraction form
    82,816.72/114,272.04 = 47,008.24/x
  3. Step 3: Cross multiply
    82,816.72x = 114,272.04 × 47,008.24
  4. Step 4: Simplify right side
    82,816.72x = 5,371,727,481.61
  5. Step 5: Solve for x
    x = 5,371,727,481.61/82,816.72
  6. Step 6: Final answer
    x = 64,862.84

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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.