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Finding the Fourth Proportional to 35,091.44, 48,457.68 and 32,642

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Solution

The fourth proportional to 35,091.44, 48,457.68 and 32,642 is: 45,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,091.44 : 48,457.68 = 32,642 : x
  2. Step 2: Convert to fraction form
    35,091.44/48,457.68 = 32,642/x
  3. Step 3: Cross multiply
    35,091.44x = 48,457.68 × 32,642
  4. Step 4: Simplify right side
    35,091.44x = 1,581,755,590.56
  5. Step 5: Solve for x
    x = 1,581,755,590.56/35,091.44
  6. Step 6: Final answer
    x = 45,075.25

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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.