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Finding the Fourth Proportional to 42,846.96, 64,276.56 and 13,267.44

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Solution

The fourth proportional to 42,846.96, 64,276.56 and 13,267.44 is: 19,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,846.96 : 64,276.56 = 13,267.44 : x
  2. Step 2: Convert to fraction form
    42,846.96/64,276.56 = 13,267.44/x
  3. Step 3: Cross multiply
    42,846.96x = 64,276.56 × 13,267.44
  4. Step 4: Simplify right side
    42,846.96x = 852,785,403.21
  5. Step 5: Solve for x
    x = 852,785,403.21/42,846.96
  6. Step 6: Final answer
    x = 19,903.06

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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.