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Finding the Fourth Proportional to 46,175.76, 63,693 and 32,023.44

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Solution

The fourth proportional to 46,175.76, 63,693 and 32,023.44 is: 44,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,175.76 : 63,693 = 32,023.44 : x
  2. Step 2: Convert to fraction form
    46,175.76/63,693 = 32,023.44/x
  3. Step 3: Cross multiply
    46,175.76x = 63,693 × 32,023.44
  4. Step 4: Simplify right side
    46,175.76x = 2,039,668,963.92
  5. Step 5: Solve for x
    x = 2,039,668,963.92/46,175.76
  6. Step 6: Final answer
    x = 44,171.85

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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.