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Finding the Fourth Proportional to 83,089.84, 114,664.56 and 45,364.96

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Solution

The fourth proportional to 83,089.84, 114,664.56 and 45,364.96 is: 62,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,089.84 : 114,664.56 = 45,364.96 : x
  2. Step 2: Convert to fraction form
    83,089.84/114,664.56 = 45,364.96/x
  3. Step 3: Cross multiply
    83,089.84x = 114,664.56 × 45,364.96
  4. Step 4: Simplify right side
    83,089.84x = 5,201,753,177.82
  5. Step 5: Solve for x
    x = 5,201,753,177.82/83,089.84
  6. Step 6: Final answer
    x = 62,603.96

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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.