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Finding the Fourth Proportional to 33,642.34, 46,090.22 and 32,381.14

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Solution

The fourth proportional to 33,642.34, 46,090.22 and 32,381.14 is: 44,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.34 : 46,090.22 = 32,381.14 : x
  2. Step 2: Convert to fraction form
    33,642.34/46,090.22 = 32,381.14/x
  3. Step 3: Cross multiply
    33,642.34x = 46,090.22 × 32,381.14
  4. Step 4: Simplify right side
    33,642.34x = 1,492,453,866.45
  5. Step 5: Solve for x
    x = 1,492,453,866.45/33,642.34
  6. Step 6: Final answer
    x = 44,362.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.