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Finding the Fourth Proportional to 46,161, 69,234.48 and 12,877.56

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Solution

The fourth proportional to 46,161, 69,234.48 and 12,877.56 is: 19,314.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,161 : 69,234.48 = 12,877.56 : x
  2. Step 2: Convert to fraction form
    46,161/69,234.48 = 12,877.56/x
  3. Step 3: Cross multiply
    46,161x = 69,234.48 × 12,877.56
  4. Step 4: Simplify right side
    46,161x = 891,571,170.27
  5. Step 5: Solve for x
    x = 891,571,170.27/46,161
  6. Step 6: Final answer
    x = 19,314.38

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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.