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Finding the Fourth Proportional to 84,624.01, 116,834.24 and 54,461.75

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Solution

The fourth proportional to 84,624.01, 116,834.24 and 54,461.75 is: 75,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,624.01 : 116,834.24 = 54,461.75 : x
  2. Step 2: Convert to fraction form
    84,624.01/116,834.24 = 54,461.75/x
  3. Step 3: Cross multiply
    84,624.01x = 116,834.24 × 54,461.75
  4. Step 4: Simplify right side
    84,624.01x = 6,362,996,722.30
  5. Step 5: Solve for x
    x = 6,362,996,722.30/84,624.01
  6. Step 6: Final answer
    x = 75,191.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.