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Finding the Fourth Proportional to 42,791.14, 64,142.96 and 14,702.77

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Solution

The fourth proportional to 42,791.14, 64,142.96 and 14,702.77 is: 22,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,791.14 : 64,142.96 = 14,702.77 : x
  2. Step 2: Convert to fraction form
    42,791.14/64,142.96 = 14,702.77/x
  3. Step 3: Cross multiply
    42,791.14x = 64,142.96 × 14,702.77
  4. Step 4: Simplify right side
    42,791.14x = 943,079,188.00
  5. Step 5: Solve for x
    x = 943,079,188.00/42,791.14
  6. Step 6: Final answer
    x = 22,039.12

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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.