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Finding the Fourth Proportional to 32,077, 44,288.13 and 19,523.62

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Solution

The fourth proportional to 32,077, 44,288.13 and 19,523.62 is: 26,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,077 : 44,288.13 = 19,523.62 : x
  2. Step 2: Convert to fraction form
    32,077/44,288.13 = 19,523.62/x
  3. Step 3: Cross multiply
    32,077x = 44,288.13 × 19,523.62
  4. Step 4: Simplify right side
    32,077x = 864,664,620.63
  5. Step 5: Solve for x
    x = 864,664,620.63/32,077
  6. Step 6: Final answer
    x = 26,955.91

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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.