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Finding the Fourth Proportional to 66,811.29, 100,216.83 and 27,368.46

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Solution

The fourth proportional to 66,811.29, 100,216.83 and 27,368.46 is: 41,052.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,811.29 : 100,216.83 = 27,368.46 : x
  2. Step 2: Convert to fraction form
    66,811.29/100,216.83 = 27,368.46/x
  3. Step 3: Cross multiply
    66,811.29x = 100,216.83 × 27,368.46
  4. Step 4: Simplify right side
    66,811.29x = 2,742,780,303.18
  5. Step 5: Solve for x
    x = 2,742,780,303.18/66,811.29
  6. Step 6: Final answer
    x = 41,052.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.