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Finding the Fourth Proportional to 46,151.60, 69,227.30 and 35,637

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Solution

The fourth proportional to 46,151.60, 69,227.30 and 35,637 is: 53,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,151.60 : 69,227.30 = 35,637 : x
  2. Step 2: Convert to fraction form
    46,151.60/69,227.30 = 35,637/x
  3. Step 3: Cross multiply
    46,151.60x = 69,227.30 × 35,637
  4. Step 4: Simplify right side
    46,151.60x = 2,467,053,290.10
  5. Step 5: Solve for x
    x = 2,467,053,290.10/46,151.60
  6. Step 6: Final answer
    x = 53,455.42

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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.