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Finding the Fourth Proportional to 35,142.81, 48,496.89 and 20,036.10

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Solution

The fourth proportional to 35,142.81, 48,496.89 and 20,036.10 is: 27,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,142.81 : 48,496.89 = 20,036.10 : x
  2. Step 2: Convert to fraction form
    35,142.81/48,496.89 = 20,036.10/x
  3. Step 3: Cross multiply
    35,142.81x = 48,496.89 × 20,036.10
  4. Step 4: Simplify right side
    35,142.81x = 971,688,537.73
  5. Step 5: Solve for x
    x = 971,688,537.73/35,142.81
  6. Step 6: Final answer
    x = 27,649.71

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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.