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Finding the Fourth Proportional to 42,431.69, 63,647.87 and 12,851.84

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Solution

The fourth proportional to 42,431.69, 63,647.87 and 12,851.84 is: 19,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,431.69 : 63,647.87 = 12,851.84 : x
  2. Step 2: Convert to fraction form
    42,431.69/63,647.87 = 12,851.84/x
  3. Step 3: Cross multiply
    42,431.69x = 63,647.87 × 12,851.84
  4. Step 4: Simplify right side
    42,431.69x = 817,992,241.58
  5. Step 5: Solve for x
    x = 817,992,241.58/42,431.69
  6. Step 6: Final answer
    x = 19,277.86

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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.