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Finding the Fourth Proportional to 29,352.78, 44,034.44 and 13,770

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Solution

The fourth proportional to 29,352.78, 44,034.44 and 13,770 is: 20,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,352.78 : 44,034.44 = 13,770 : x
  2. Step 2: Convert to fraction form
    29,352.78/44,034.44 = 13,770/x
  3. Step 3: Cross multiply
    29,352.78x = 44,034.44 × 13,770
  4. Step 4: Simplify right side
    29,352.78x = 606,354,169.95
  5. Step 5: Solve for x
    x = 606,354,169.95/29,352.78
  6. Step 6: Final answer
    x = 20,657.47

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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.