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Finding the Fourth Proportional to 61,219.80, 91,829.54 and 21,778.46

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Solution

The fourth proportional to 61,219.80, 91,829.54 and 21,778.46 is: 32,667.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,219.80 : 91,829.54 = 21,778.46 : x
  2. Step 2: Convert to fraction form
    61,219.80/91,829.54 = 21,778.46/x
  3. Step 3: Cross multiply
    61,219.80x = 91,829.54 × 21,778.46
  4. Step 4: Simplify right side
    61,219.80x = 1,999,905,963.71
  5. Step 5: Solve for x
    x = 1,999,905,963.71/61,219.80
  6. Step 6: Final answer
    x = 32,667.63

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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.