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Finding the Fourth Proportional to 55,533.80, 76,636.02 and 30,383

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Solution

The fourth proportional to 55,533.80, 76,636.02 and 30,383 is: 41,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,533.80 : 76,636.02 = 30,383 : x
  2. Step 2: Convert to fraction form
    55,533.80/76,636.02 = 30,383/x
  3. Step 3: Cross multiply
    55,533.80x = 76,636.02 × 30,383
  4. Step 4: Simplify right side
    55,533.80x = 2,328,432,195.66
  5. Step 5: Solve for x
    x = 2,328,432,195.66/55,533.80
  6. Step 6: Final answer
    x = 41,928.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.