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Finding the Fourth Proportional to 55,568.64, 83,361.60 and 18,624

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Solution

The fourth proportional to 55,568.64, 83,361.60 and 18,624 is: 27,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,568.64 : 83,361.60 = 18,624 : x
  2. Step 2: Convert to fraction form
    55,568.64/83,361.60 = 18,624/x
  3. Step 3: Cross multiply
    55,568.64x = 83,361.60 × 18,624
  4. Step 4: Simplify right side
    55,568.64x = 1,552,526,438.40
  5. Step 5: Solve for x
    x = 1,552,526,438.40/55,568.64
  6. Step 6: Final answer
    x = 27,938.90

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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.