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Finding the Fourth Proportional to 73,178.72, 109,784.28 and 23,274.08

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Solution

The fourth proportional to 73,178.72, 109,784.28 and 23,274.08 is: 34,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.72 : 109,784.28 = 23,274.08 : x
  2. Step 2: Convert to fraction form
    73,178.72/109,784.28 = 23,274.08/x
  3. Step 3: Cross multiply
    73,178.72x = 109,784.28 × 23,274.08
  4. Step 4: Simplify right side
    73,178.72x = 2,555,128,115.46
  5. Step 5: Solve for x
    x = 2,555,128,115.46/73,178.72
  6. Step 6: Final answer
    x = 34,916.27

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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.