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Finding the Fourth Proportional to 84,406.84, 116,426.50 and 54,144.21

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Solution

The fourth proportional to 84,406.84, 116,426.50 and 54,144.21 is: 74,683.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,406.84 : 116,426.50 = 54,144.21 : x
  2. Step 2: Convert to fraction form
    84,406.84/116,426.50 = 54,144.21/x
  3. Step 3: Cross multiply
    84,406.84x = 116,426.50 × 54,144.21
  4. Step 4: Simplify right side
    84,406.84x = 6,303,820,865.57
  5. Step 5: Solve for x
    x = 6,303,820,865.57/84,406.84
  6. Step 6: Final answer
    x = 74,683.77

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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.