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Finding the Fourth Proportional to 64,212, 88,612.56 and 41,856

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Solution

The fourth proportional to 64,212, 88,612.56 and 41,856 is: 57,761.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,212 : 88,612.56 = 41,856 : x
  2. Step 2: Convert to fraction form
    64,212/88,612.56 = 41,856/x
  3. Step 3: Cross multiply
    64,212x = 88,612.56 × 41,856
  4. Step 4: Simplify right side
    64,212x = 3,708,967,311.36
  5. Step 5: Solve for x
    x = 3,708,967,311.36/64,212
  6. Step 6: Final answer
    x = 57,761.28

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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.