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Finding the Fourth Proportional to 38,142, 57,226.44 and 17,080.32

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Solution

The fourth proportional to 38,142, 57,226.44 and 17,080.32 is: 25,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,142 : 57,226.44 = 17,080.32 : x
  2. Step 2: Convert to fraction form
    38,142/57,226.44 = 17,080.32/x
  3. Step 3: Cross multiply
    38,142x = 57,226.44 × 17,080.32
  4. Step 4: Simplify right side
    38,142x = 977,445,907.66
  5. Step 5: Solve for x
    x = 977,445,907.66/38,142
  6. Step 6: Final answer
    x = 25,626.50

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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.