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Finding the Fourth Proportional to 34,612.06, 47,767.98 and 22,036

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Solution

The fourth proportional to 34,612.06, 47,767.98 and 22,036 is: 30,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,612.06 : 47,767.98 = 22,036 : x
  2. Step 2: Convert to fraction form
    34,612.06/47,767.98 = 22,036/x
  3. Step 3: Cross multiply
    34,612.06x = 47,767.98 × 22,036
  4. Step 4: Simplify right side
    34,612.06x = 1,052,615,207.28
  5. Step 5: Solve for x
    x = 1,052,615,207.28/34,612.06
  6. Step 6: Final answer
    x = 30,411.80

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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.