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Finding the Fourth Proportional to 55,516.32, 83,274.48 and 13,963.32

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Solution

The fourth proportional to 55,516.32, 83,274.48 and 13,963.32 is: 20,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,516.32 : 83,274.48 = 13,963.32 : x
  2. Step 2: Convert to fraction form
    55,516.32/83,274.48 = 13,963.32/x
  3. Step 3: Cross multiply
    55,516.32x = 83,274.48 × 13,963.32
  4. Step 4: Simplify right side
    55,516.32x = 1,162,788,212.07
  5. Step 5: Solve for x
    x = 1,162,788,212.07/55,516.32
  6. Step 6: Final answer
    x = 20,944.98

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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.