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Finding the Fourth Proportional to 32,744.64, 49,120.14 and 13,018.80

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Solution

The fourth proportional to 32,744.64, 49,120.14 and 13,018.80 is: 19,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,744.64 : 49,120.14 = 13,018.80 : x
  2. Step 2: Convert to fraction form
    32,744.64/49,120.14 = 13,018.80/x
  3. Step 3: Cross multiply
    32,744.64x = 49,120.14 × 13,018.80
  4. Step 4: Simplify right side
    32,744.64x = 639,485,278.63
  5. Step 5: Solve for x
    x = 639,485,278.63/32,744.64
  6. Step 6: Final answer
    x = 19,529.46

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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.