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Finding the Fourth Proportional to 35,511.70, 49,007.60 and 20,409.10

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Solution

The fourth proportional to 35,511.70, 49,007.60 and 20,409.10 is: 28,165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,511.70 : 49,007.60 = 20,409.10 : x
  2. Step 2: Convert to fraction form
    35,511.70/49,007.60 = 20,409.10/x
  3. Step 3: Cross multiply
    35,511.70x = 49,007.60 × 20,409.10
  4. Step 4: Simplify right side
    35,511.70x = 1,000,201,009.16
  5. Step 5: Solve for x
    x = 1,000,201,009.16/35,511.70
  6. Step 6: Final answer
    x = 28,165.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.