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Finding the Fourth Proportional to 73,569.14, 110,354.74 and 20,978.62

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Solution

The fourth proportional to 73,569.14, 110,354.74 and 20,978.62 is: 31,468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,569.14 : 110,354.74 = 20,978.62 : x
  2. Step 2: Convert to fraction form
    73,569.14/110,354.74 = 20,978.62/x
  3. Step 3: Cross multiply
    73,569.14x = 110,354.74 × 20,978.62
  4. Step 4: Simplify right side
    73,569.14x = 2,315,090,155.66
  5. Step 5: Solve for x
    x = 2,315,090,155.66/73,569.14
  6. Step 6: Final answer
    x = 31,468.22

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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.