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Finding the Fourth Proportional to 84,412.85, 116,491.89 and 50,881.01

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Solution

The fourth proportional to 84,412.85, 116,491.89 and 50,881.01 is: 70,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,412.85 : 116,491.89 = 50,881.01 : x
  2. Step 2: Convert to fraction form
    84,412.85/116,491.89 = 50,881.01/x
  3. Step 3: Cross multiply
    84,412.85x = 116,491.89 × 50,881.01
  4. Step 4: Simplify right side
    84,412.85x = 5,927,225,020.01
  5. Step 5: Solve for x
    x = 5,927,225,020.01/84,412.85
  6. Step 6: Final answer
    x = 70,217.09

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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.