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Finding the Fourth Proportional to 47,997, 66,235.68 and 26,775

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Solution

The fourth proportional to 47,997, 66,235.68 and 26,775 is: 36,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997 : 66,235.68 = 26,775 : x
  2. Step 2: Convert to fraction form
    47,997/66,235.68 = 26,775/x
  3. Step 3: Cross multiply
    47,997x = 66,235.68 × 26,775
  4. Step 4: Simplify right side
    47,997x = 1,773,460,332.00
  5. Step 5: Solve for x
    x = 1,773,460,332.00/47,997
  6. Step 6: Final answer
    x = 36,949.40

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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.