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Finding the Fourth Proportional to 55,007.50, 82,512.87 and 13,454.50

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Solution

The fourth proportional to 55,007.50, 82,512.87 and 13,454.50 is: 20,182.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,007.50 : 82,512.87 = 13,454.50 : x
  2. Step 2: Convert to fraction form
    55,007.50/82,512.87 = 13,454.50/x
  3. Step 3: Cross multiply
    55,007.50x = 82,512.87 × 13,454.50
  4. Step 4: Simplify right side
    55,007.50x = 1,110,169,409.42
  5. Step 5: Solve for x
    x = 1,110,169,409.42/55,007.50
  6. Step 6: Final answer
    x = 20,182.15

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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.