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Finding the Fourth Proportional to 46,488.20, 69,676.95 and 21,493.22

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Solution

The fourth proportional to 46,488.20, 69,676.95 and 21,493.22 is: 32,214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,488.20 : 69,676.95 = 21,493.22 : x
  2. Step 2: Convert to fraction form
    46,488.20/69,676.95 = 21,493.22/x
  3. Step 3: Cross multiply
    46,488.20x = 69,676.95 × 21,493.22
  4. Step 4: Simplify right side
    46,488.20x = 1,497,582,015.28
  5. Step 5: Solve for x
    x = 1,497,582,015.28/46,488.20
  6. Step 6: Final answer
    x = 32,214.24

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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.