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Finding the Fourth Proportional to 35,954.46, 49,617.23 and 20,038.59

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Solution

The fourth proportional to 35,954.46, 49,617.23 and 20,038.59 is: 27,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,954.46 : 49,617.23 = 20,038.59 : x
  2. Step 2: Convert to fraction form
    35,954.46/49,617.23 = 20,038.59/x
  3. Step 3: Cross multiply
    35,954.46x = 49,617.23 × 20,038.59
  4. Step 4: Simplify right side
    35,954.46x = 994,259,228.71
  5. Step 5: Solve for x
    x = 994,259,228.71/35,954.46
  6. Step 6: Final answer
    x = 27,653.29

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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.