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Finding the Fourth Proportional to 73,992.08, 102,109.16 and 42,160.88

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Solution

The fourth proportional to 73,992.08, 102,109.16 and 42,160.88 is: 58,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,992.08 : 102,109.16 = 42,160.88 : x
  2. Step 2: Convert to fraction form
    73,992.08/102,109.16 = 42,160.88/x
  3. Step 3: Cross multiply
    73,992.08x = 102,109.16 × 42,160.88
  4. Step 4: Simplify right side
    73,992.08x = 4,305,012,041.66
  5. Step 5: Solve for x
    x = 4,305,012,041.66/73,992.08
  6. Step 6: Final answer
    x = 58,182.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.