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Finding the Fourth Proportional to 35,505.12, 49,204.20 and 35,004

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Solution

The fourth proportional to 35,505.12, 49,204.20 and 35,004 is: 48,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,505.12 : 49,204.20 = 35,004 : x
  2. Step 2: Convert to fraction form
    35,505.12/49,204.20 = 35,004/x
  3. Step 3: Cross multiply
    35,505.12x = 49,204.20 × 35,004
  4. Step 4: Simplify right side
    35,505.12x = 1,722,343,816.80
  5. Step 5: Solve for x
    x = 1,722,343,816.80/35,505.12
  6. Step 6: Final answer
    x = 48,509.73

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.