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Finding the Fourth Proportional to 84,591.74, 116,683.68 and 54,416.36

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Solution

The fourth proportional to 84,591.74, 116,683.68 and 54,416.36 is: 75,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,591.74 : 116,683.68 = 54,416.36 : x
  2. Step 2: Convert to fraction form
    84,591.74/116,683.68 = 54,416.36/x
  3. Step 3: Cross multiply
    84,591.74x = 116,683.68 × 54,416.36
  4. Step 4: Simplify right side
    84,591.74x = 6,349,501,137.00
  5. Step 5: Solve for x
    x = 6,349,501,137.00/84,591.74
  6. Step 6: Final answer
    x = 75,060.53

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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.