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Finding the Fourth Proportional to 35,114.06, 48,457.53 and 19,198.77

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Solution

The fourth proportional to 35,114.06, 48,457.53 and 19,198.77 is: 26,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.06 : 48,457.53 = 19,198.77 : x
  2. Step 2: Convert to fraction form
    35,114.06/48,457.53 = 19,198.77/x
  3. Step 3: Cross multiply
    35,114.06x = 48,457.53 × 19,198.77
  4. Step 4: Simplify right side
    35,114.06x = 930,324,973.24
  5. Step 5: Solve for x
    x = 930,324,973.24/35,114.06
  6. Step 6: Final answer
    x = 26,494.38

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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.