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Finding the Fourth Proportional to 71,408.79, 106,980.75 and 35,828.33

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Solution

The fourth proportional to 71,408.79, 106,980.75 and 35,828.33 is: 53,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,408.79 : 106,980.75 = 35,828.33 : x
  2. Step 2: Convert to fraction form
    71,408.79/106,980.75 = 35,828.33/x
  3. Step 3: Cross multiply
    71,408.79x = 106,980.75 × 35,828.33
  4. Step 4: Simplify right side
    71,408.79x = 3,832,941,079.74
  5. Step 5: Solve for x
    x = 3,832,941,079.74/71,408.79
  6. Step 6: Final answer
    x = 53,676.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.