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Finding the Fourth Proportional to 43,489.68, 65,232.44 and 15,409.28

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Solution

The fourth proportional to 43,489.68, 65,232.44 and 15,409.28 is: 23,113.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,489.68 : 65,232.44 = 15,409.28 : x
  2. Step 2: Convert to fraction form
    43,489.68/65,232.44 = 15,409.28/x
  3. Step 3: Cross multiply
    43,489.68x = 65,232.44 × 15,409.28
  4. Step 4: Simplify right side
    43,489.68x = 1,005,184,933.04
  5. Step 5: Solve for x
    x = 1,005,184,933.04/43,489.68
  6. Step 6: Final answer
    x = 23,113.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.