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Finding the Fourth Proportional to 41,783.98, 62,681.82 and 12,203.98

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Solution

The fourth proportional to 41,783.98, 62,681.82 and 12,203.98 is: 18,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,783.98 : 62,681.82 = 12,203.98 : x
  2. Step 2: Convert to fraction form
    41,783.98/62,681.82 = 12,203.98/x
  3. Step 3: Cross multiply
    41,783.98x = 62,681.82 × 12,203.98
  4. Step 4: Simplify right side
    41,783.98x = 764,967,677.64
  5. Step 5: Solve for x
    x = 764,967,677.64/41,783.98
  6. Step 6: Final answer
    x = 18,307.68

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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.