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Finding the Fourth Proportional to 35,714.68, 49,291.26 and 22,107.08

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Solution

The fourth proportional to 35,714.68, 49,291.26 and 22,107.08 is: 30,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,714.68 : 49,291.26 = 22,107.08 : x
  2. Step 2: Convert to fraction form
    35,714.68/49,291.26 = 22,107.08/x
  3. Step 3: Cross multiply
    35,714.68x = 49,291.26 × 22,107.08
  4. Step 4: Simplify right side
    35,714.68x = 1,089,686,054.98
  5. Step 5: Solve for x
    x = 1,089,686,054.98/35,714.68
  6. Step 6: Final answer
    x = 30,510.87

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