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Finding the Fourth Proportional to 74,609.98, 102,969.22 and 55,714.30

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Solution

The fourth proportional to 74,609.98, 102,969.22 and 55,714.30 is: 76,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,609.98 : 102,969.22 = 55,714.30 : x
  2. Step 2: Convert to fraction form
    74,609.98/102,969.22 = 55,714.30/x
  3. Step 3: Cross multiply
    74,609.98x = 102,969.22 × 55,714.30
  4. Step 4: Simplify right side
    74,609.98x = 5,736,858,013.85
  5. Step 5: Solve for x
    x = 5,736,858,013.85/74,609.98
  6. Step 6: Final answer
    x = 76,891.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.