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Finding the Fourth Proportional to 32,588.64, 44,972.30 and 17,684.64

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Solution

The fourth proportional to 32,588.64, 44,972.30 and 17,684.64 is: 24,404.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,588.64 : 44,972.30 = 17,684.64 : x
  2. Step 2: Convert to fraction form
    32,588.64/44,972.30 = 17,684.64/x
  3. Step 3: Cross multiply
    32,588.64x = 44,972.30 × 17,684.64
  4. Step 4: Simplify right side
    32,588.64x = 795,318,847.05
  5. Step 5: Solve for x
    x = 795,318,847.05/32,588.64
  6. Step 6: Final answer
    x = 24,404.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.