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Finding the Fourth Proportional to 35,140.56, 48,490.48 and 20,032

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Solution

The fourth proportional to 35,140.56, 48,490.48 and 20,032 is: 27,642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,140.56 : 48,490.48 = 20,032 : x
  2. Step 2: Convert to fraction form
    35,140.56/48,490.48 = 20,032/x
  3. Step 3: Cross multiply
    35,140.56x = 48,490.48 × 20,032
  4. Step 4: Simplify right side
    35,140.56x = 971,361,295.36
  5. Step 5: Solve for x
    x = 971,361,295.36/35,140.56
  6. Step 6: Final answer
    x = 27,642.17

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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.