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Finding the Fourth Proportional to 72,963.22, 109,448.12 and 22,358.60

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Solution

The fourth proportional to 72,963.22, 109,448.12 and 22,358.60 is: 33,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,963.22 : 109,448.12 = 22,358.60 : x
  2. Step 2: Convert to fraction form
    72,963.22/109,448.12 = 22,358.60/x
  3. Step 3: Cross multiply
    72,963.22x = 109,448.12 × 22,358.60
  4. Step 4: Simplify right side
    72,963.22x = 2,447,107,270.56
  5. Step 5: Solve for x
    x = 2,447,107,270.56/72,963.22
  6. Step 6: Final answer
    x = 33,538.92

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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.