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Finding the Fourth Proportional to 35,698.94, 49,478.23 and 35,035.10

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Solution

The fourth proportional to 35,698.94, 49,478.23 and 35,035.10 is: 48,558.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,698.94 : 49,478.23 = 35,035.10 : x
  2. Step 2: Convert to fraction form
    35,698.94/49,478.23 = 35,035.10/x
  3. Step 3: Cross multiply
    35,698.94x = 49,478.23 × 35,035.10
  4. Step 4: Simplify right side
    35,698.94x = 1,733,474,560.70
  5. Step 5: Solve for x
    x = 1,733,474,560.70/35,698.94
  6. Step 6: Final answer
    x = 48,558.15

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Why These Related Problems?

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