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Finding the Fourth Proportional to 72,088.86, 108,086.64 and 29,997.90

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Solution

The fourth proportional to 72,088.86, 108,086.64 and 29,997.90 is: 44,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,088.86 : 108,086.64 = 29,997.90 : x
  2. Step 2: Convert to fraction form
    72,088.86/108,086.64 = 29,997.90/x
  3. Step 3: Cross multiply
    72,088.86x = 108,086.64 × 29,997.90
  4. Step 4: Simplify right side
    72,088.86x = 3,242,372,218.06
  5. Step 5: Solve for x
    x = 3,242,372,218.06/72,088.86
  6. Step 6: Final answer
    x = 44,977.44

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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.