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Finding the Fourth Proportional to 55,150.50, 82,726.02 and 13,597.50

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Solution

The fourth proportional to 55,150.50, 82,726.02 and 13,597.50 is: 20,396.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,150.50 : 82,726.02 = 13,597.50 : x
  2. Step 2: Convert to fraction form
    55,150.50/82,726.02 = 13,597.50/x
  3. Step 3: Cross multiply
    55,150.50x = 82,726.02 × 13,597.50
  4. Step 4: Simplify right side
    55,150.50x = 1,124,867,056.95
  5. Step 5: Solve for x
    x = 1,124,867,056.95/55,150.50
  6. Step 6: Final answer
    x = 20,396.32

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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.