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Finding the Fourth Proportional to 46,286, 69,414.60 and 16,699.96

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Solution

The fourth proportional to 46,286, 69,414.60 and 16,699.96 is: 25,044.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,286 : 69,414.60 = 16,699.96 : x
  2. Step 2: Convert to fraction form
    46,286/69,414.60 = 16,699.96/x
  3. Step 3: Cross multiply
    46,286x = 69,414.60 × 16,699.96
  4. Step 4: Simplify right side
    46,286x = 1,159,221,043.42
  5. Step 5: Solve for x
    x = 1,159,221,043.42/46,286
  6. Step 6: Final answer
    x = 25,044.74

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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.