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Finding the Fourth Proportional to 72,694.34, 109,041.52 and 22,774.86

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Solution

The fourth proportional to 72,694.34, 109,041.52 and 22,774.86 is: 34,162.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.34 : 109,041.52 = 22,774.86 : x
  2. Step 2: Convert to fraction form
    72,694.34/109,041.52 = 22,774.86/x
  3. Step 3: Cross multiply
    72,694.34x = 109,041.52 × 22,774.86
  4. Step 4: Simplify right side
    72,694.34x = 2,483,405,352.19
  5. Step 5: Solve for x
    x = 2,483,405,352.19/72,694.34
  6. Step 6: Final answer
    x = 34,162.29

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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.