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Finding the Fourth Proportional to 32,722.96, 49,058.44 and 14,242

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Solution

The fourth proportional to 32,722.96, 49,058.44 and 14,242 is: 21,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722.96 : 49,058.44 = 14,242 : x
  2. Step 2: Convert to fraction form
    32,722.96/49,058.44 = 14,242/x
  3. Step 3: Cross multiply
    32,722.96x = 49,058.44 × 14,242
  4. Step 4: Simplify right side
    32,722.96x = 698,690,302.48
  5. Step 5: Solve for x
    x = 698,690,302.48/32,722.96
  6. Step 6: Final answer
    x = 21,351.68

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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.