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Finding the Fourth Proportional to 47,714.32, 65,840.16 and 26,488.36

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Solution

The fourth proportional to 47,714.32, 65,840.16 and 26,488.36 is: 36,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,714.32 : 65,840.16 = 26,488.36 : x
  2. Step 2: Convert to fraction form
    47,714.32/65,840.16 = 26,488.36/x
  3. Step 3: Cross multiply
    47,714.32x = 65,840.16 × 26,488.36
  4. Step 4: Simplify right side
    47,714.32x = 1,743,997,860.54
  5. Step 5: Solve for x
    x = 1,743,997,860.54/47,714.32
  6. Step 6: Final answer
    x = 36,550.83

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