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Finding the Fourth Proportional to 34,974.48, 52,454.36 and 12,798.32

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Solution

The fourth proportional to 34,974.48, 52,454.36 and 12,798.32 is: 19,194.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,974.48 : 52,454.36 = 12,798.32 : x
  2. Step 2: Convert to fraction form
    34,974.48/52,454.36 = 12,798.32/x
  3. Step 3: Cross multiply
    34,974.48x = 52,454.36 × 12,798.32
  4. Step 4: Simplify right side
    34,974.48x = 671,327,684.68
  5. Step 5: Solve for x
    x = 671,327,684.68/34,974.48
  6. Step 6: Final answer
    x = 19,194.79

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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.