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Finding the Fourth Proportional to 43,009.84, 64,529.92 and 13,435.12

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Solution

The fourth proportional to 43,009.84, 64,529.92 and 13,435.12 is: 20,157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,009.84 : 64,529.92 = 13,435.12 : x
  2. Step 2: Convert to fraction form
    43,009.84/64,529.92 = 13,435.12/x
  3. Step 3: Cross multiply
    43,009.84x = 64,529.92 × 13,435.12
  4. Step 4: Simplify right side
    43,009.84x = 866,967,218.79
  5. Step 5: Solve for x
    x = 866,967,218.79/43,009.84
  6. Step 6: Final answer
    x = 20,157.42

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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.