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Finding the Fourth Proportional to 32,729.74, 49,094.82 and 13,994

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Solution

The fourth proportional to 32,729.74, 49,094.82 and 13,994 is: 20,991.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,729.74 : 49,094.82 = 13,994 : x
  2. Step 2: Convert to fraction form
    32,729.74/49,094.82 = 13,994/x
  3. Step 3: Cross multiply
    32,729.74x = 49,094.82 × 13,994
  4. Step 4: Simplify right side
    32,729.74x = 687,032,911.08
  5. Step 5: Solve for x
    x = 687,032,911.08/32,729.74
  6. Step 6: Final answer
    x = 20,991.09

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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.