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Finding the Fourth Proportional to 84,591.68, 116,683.71 and 54,416.34

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Solution

The fourth proportional to 84,591.68, 116,683.71 and 54,416.34 is: 75,060.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,591.68 : 116,683.71 = 54,416.34 : x
  2. Step 2: Convert to fraction form
    84,591.68/116,683.71 = 54,416.34/x
  3. Step 3: Cross multiply
    84,591.68x = 116,683.71 × 54,416.34
  4. Step 4: Simplify right side
    84,591.68x = 6,349,500,435.82
  5. Step 5: Solve for x
    x = 6,349,500,435.82/84,591.68
  6. Step 6: Final answer
    x = 75,060.58

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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.