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Finding the Fourth Proportional to 46,256.98, 69,372.87 and 12,974.98

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Solution

The fourth proportional to 46,256.98, 69,372.87 and 12,974.98 is: 19,458.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,256.98 : 69,372.87 = 12,974.98 : x
  2. Step 2: Convert to fraction form
    46,256.98/69,372.87 = 12,974.98/x
  3. Step 3: Cross multiply
    46,256.98x = 69,372.87 × 12,974.98
  4. Step 4: Simplify right side
    46,256.98x = 900,111,600.79
  5. Step 5: Solve for x
    x = 900,111,600.79/46,256.98
  6. Step 6: Final answer
    x = 19,458.94

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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.