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Finding the Fourth Proportional to 34,022.34, 46,889.84 and 27,670.01

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Solution

The fourth proportional to 34,022.34, 46,889.84 and 27,670.01 is: 38,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022.34 : 46,889.84 = 27,670.01 : x
  2. Step 2: Convert to fraction form
    34,022.34/46,889.84 = 27,670.01/x
  3. Step 3: Cross multiply
    34,022.34x = 46,889.84 × 27,670.01
  4. Step 4: Simplify right side
    34,022.34x = 1,297,442,176.42
  5. Step 5: Solve for x
    x = 1,297,442,176.42/34,022.34
  6. Step 6: Final answer
    x = 38,135.01

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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.