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Finding the Fourth Proportional to 42,894.57, 64,350.37 and 13,311.15

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Solution

The fourth proportional to 42,894.57, 64,350.37 and 13,311.15 is: 19,969.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.57 : 64,350.37 = 13,311.15 : x
  2. Step 2: Convert to fraction form
    42,894.57/64,350.37 = 13,311.15/x
  3. Step 3: Cross multiply
    42,894.57x = 64,350.37 × 13,311.15
  4. Step 4: Simplify right side
    42,894.57x = 856,577,153.03
  5. Step 5: Solve for x
    x = 856,577,153.03/42,894.57
  6. Step 6: Final answer
    x = 19,969.36

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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.