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Finding the Fourth Proportional to 73,767.84, 110,652.44 and 21,177.32

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Solution

The fourth proportional to 73,767.84, 110,652.44 and 21,177.32 is: 31,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,767.84 : 110,652.44 = 21,177.32 : x
  2. Step 2: Convert to fraction form
    73,767.84/110,652.44 = 21,177.32/x
  3. Step 3: Cross multiply
    73,767.84x = 110,652.44 × 21,177.32
  4. Step 4: Simplify right side
    73,767.84x = 2,343,322,130.66
  5. Step 5: Solve for x
    x = 2,343,322,130.66/73,767.84
  6. Step 6: Final answer
    x = 31,766.18

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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.