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Finding the Fourth Proportional to 55,246.46, 82,869.64 and 13,693.46

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Solution

The fourth proportional to 55,246.46, 82,869.64 and 13,693.46 is: 20,540.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,246.46 : 82,869.64 = 13,693.46 : x
  2. Step 2: Convert to fraction form
    55,246.46/82,869.64 = 13,693.46/x
  3. Step 3: Cross multiply
    55,246.46x = 82,869.64 × 13,693.46
  4. Step 4: Simplify right side
    55,246.46x = 1,134,772,100.55
  5. Step 5: Solve for x
    x = 1,134,772,100.55/55,246.46
  6. Step 6: Final answer
    x = 20,540.18

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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.