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Finding the Fourth Proportional to 42,525.96, 63,791.56 and 12,946

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Solution

The fourth proportional to 42,525.96, 63,791.56 and 12,946 is: 19,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,525.96 : 63,791.56 = 12,946 : x
  2. Step 2: Convert to fraction form
    42,525.96/63,791.56 = 12,946/x
  3. Step 3: Cross multiply
    42,525.96x = 63,791.56 × 12,946
  4. Step 4: Simplify right side
    42,525.96x = 825,845,535.76
  5. Step 5: Solve for x
    x = 825,845,535.76/42,525.96
  6. Step 6: Final answer
    x = 19,419.80

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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.