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Finding the Fourth Proportional to 51,474.32, 71,078.88 and 32,385.91

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Solution

The fourth proportional to 51,474.32, 71,078.88 and 32,385.91 is: 44,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,474.32 : 71,078.88 = 32,385.91 : x
  2. Step 2: Convert to fraction form
    51,474.32/71,078.88 = 32,385.91/x
  3. Step 3: Cross multiply
    51,474.32x = 71,078.88 × 32,385.91
  4. Step 4: Simplify right side
    51,474.32x = 2,301,954,210.58
  5. Step 5: Solve for x
    x = 2,301,954,210.58/51,474.32
  6. Step 6: Final answer
    x = 44,720.44

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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.