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Finding the Fourth Proportional to 51,533, 71,115.62 and 29,181.32

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Solution

The fourth proportional to 51,533, 71,115.62 and 29,181.32 is: 40,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,533 : 71,115.62 = 29,181.32 : x
  2. Step 2: Convert to fraction form
    51,533/71,115.62 = 29,181.32/x
  3. Step 3: Cross multiply
    51,533x = 71,115.62 × 29,181.32
  4. Step 4: Simplify right side
    51,533x = 2,075,247,664.22
  5. Step 5: Solve for x
    x = 2,075,247,664.22/51,533
  6. Step 6: Final answer
    x = 40,270.27

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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.