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Finding the Fourth Proportional to 73,542.34, 110,291.52 and 26,784.28

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Solution

The fourth proportional to 73,542.34, 110,291.52 and 26,784.28 is: 40,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,542.34 : 110,291.52 = 26,784.28 : x
  2. Step 2: Convert to fraction form
    73,542.34/110,291.52 = 26,784.28/x
  3. Step 3: Cross multiply
    73,542.34x = 110,291.52 × 26,784.28
  4. Step 4: Simplify right side
    73,542.34x = 2,954,078,953.31
  5. Step 5: Solve for x
    x = 2,954,078,953.31/73,542.34
  6. Step 6: Final answer
    x = 40,168.41

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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.