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Finding the Fourth Proportional to 73,178.51, 109,776.74 and 20,588.04

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Solution

The fourth proportional to 73,178.51, 109,776.74 and 20,588.04 is: 30,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.51 : 109,776.74 = 20,588.04 : x
  2. Step 2: Convert to fraction form
    73,178.51/109,776.74 = 20,588.04/x
  3. Step 3: Cross multiply
    73,178.51x = 109,776.74 × 20,588.04
  4. Step 4: Simplify right side
    73,178.51x = 2,260,087,811.25
  5. Step 5: Solve for x
    x = 2,260,087,811.25/73,178.51
  6. Step 6: Final answer
    x = 30,884.59

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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.