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Finding the Fourth Proportional to 55,226, 76,219.08 and 32,870

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Solution

The fourth proportional to 55,226, 76,219.08 and 32,870 is: 45,364.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,226 : 76,219.08 = 32,870 : x
  2. Step 2: Convert to fraction form
    55,226/76,219.08 = 32,870/x
  3. Step 3: Cross multiply
    55,226x = 76,219.08 × 32,870
  4. Step 4: Simplify right side
    55,226x = 2,505,321,159.60
  5. Step 5: Solve for x
    x = 2,505,321,159.60/55,226
  6. Step 6: Final answer
    x = 45,364.89

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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.