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Finding the Fourth Proportional to 35,930.86, 49,586.12 and 20,015.32

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Solution

The fourth proportional to 35,930.86, 49,586.12 and 20,015.32 is: 27,622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.86 : 49,586.12 = 20,015.32 : x
  2. Step 2: Convert to fraction form
    35,930.86/49,586.12 = 20,015.32/x
  3. Step 3: Cross multiply
    35,930.86x = 49,586.12 × 20,015.32
  4. Step 4: Simplify right side
    35,930.86x = 992,482,059.36
  5. Step 5: Solve for x
    x = 992,482,059.36/35,930.86
  6. Step 6: Final answer
    x = 27,622.00

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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.