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Finding the Fourth Proportional to 31,994, 44,221.64 and 28,188.08

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Solution

The fourth proportional to 31,994, 44,221.64 and 28,188.08 is: 38,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,994 : 44,221.64 = 28,188.08 : x
  2. Step 2: Convert to fraction form
    31,994/44,221.64 = 28,188.08/x
  3. Step 3: Cross multiply
    31,994x = 44,221.64 × 28,188.08
  4. Step 4: Simplify right side
    31,994x = 1,246,523,126.05
  5. Step 5: Solve for x
    x = 1,246,523,126.05/31,994
  6. Step 6: Final answer
    x = 38,961.15

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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.