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Finding the Fourth Proportional to 30,874.98, 46,312.41 and 7,501.44

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Solution

The fourth proportional to 30,874.98, 46,312.41 and 7,501.44 is: 11,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,874.98 : 46,312.41 = 7,501.44 : x
  2. Step 2: Convert to fraction form
    30,874.98/46,312.41 = 7,501.44/x
  3. Step 3: Cross multiply
    30,874.98x = 46,312.41 × 7,501.44
  4. Step 4: Simplify right side
    30,874.98x = 347,409,764.87
  5. Step 5: Solve for x
    x = 347,409,764.87/30,874.98
  6. Step 6: Final answer
    x = 11,252.15

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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.