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Finding the Fourth Proportional to 35,114.16, 48,457.56 and 19,198.74

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Solution

The fourth proportional to 35,114.16, 48,457.56 and 19,198.74 is: 26,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.16 : 48,457.56 = 19,198.74 : x
  2. Step 2: Convert to fraction form
    35,114.16/48,457.56 = 19,198.74/x
  3. Step 3: Cross multiply
    35,114.16x = 48,457.56 × 19,198.74
  4. Step 4: Simplify right side
    35,114.16x = 930,324,095.47
  5. Step 5: Solve for x
    x = 930,324,095.47/35,114.16
  6. Step 6: Final answer
    x = 26,494.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.