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Finding the Fourth Proportional to 42,365.67, 63,548.96 and 12,783.77

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Solution

The fourth proportional to 42,365.67, 63,548.96 and 12,783.77 is: 19,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,365.67 : 63,548.96 = 12,783.77 : x
  2. Step 2: Convert to fraction form
    42,365.67/63,548.96 = 12,783.77/x
  3. Step 3: Cross multiply
    42,365.67x = 63,548.96 × 12,783.77
  4. Step 4: Simplify right side
    42,365.67x = 812,394,906.72
  5. Step 5: Solve for x
    x = 812,394,906.72/42,365.67
  6. Step 6: Final answer
    x = 19,175.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.