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Finding the Fourth Proportional to 33,102.17, 45,687.64 and 19,670.83

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Solution

The fourth proportional to 33,102.17, 45,687.64 and 19,670.83 is: 27,149.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.17 : 45,687.64 = 19,670.83 : x
  2. Step 2: Convert to fraction form
    33,102.17/45,687.64 = 19,670.83/x
  3. Step 3: Cross multiply
    33,102.17x = 45,687.64 × 19,670.83
  4. Step 4: Simplify right side
    33,102.17x = 898,713,807.47
  5. Step 5: Solve for x
    x = 898,713,807.47/33,102.17
  6. Step 6: Final answer
    x = 27,149.69

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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.