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Finding the Fourth Proportional to 72,681.94, 109,023.37 and 22,758.20

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Solution

The fourth proportional to 72,681.94, 109,023.37 and 22,758.20 is: 34,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,681.94 : 109,023.37 = 22,758.20 : x
  2. Step 2: Convert to fraction form
    72,681.94/109,023.37 = 22,758.20/x
  3. Step 3: Cross multiply
    72,681.94x = 109,023.37 × 22,758.20
  4. Step 4: Simplify right side
    72,681.94x = 2,481,175,465.96
  5. Step 5: Solve for x
    x = 2,481,175,465.96/72,681.94
  6. Step 6: Final answer
    x = 34,137.44

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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.