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Finding the Fourth Proportional to 35,665.70, 49,218.58 and 20,558.26

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Solution

The fourth proportional to 35,665.70, 49,218.58 and 20,558.26 is: 28,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,665.70 : 49,218.58 = 20,558.26 : x
  2. Step 2: Convert to fraction form
    35,665.70/49,218.58 = 20,558.26/x
  3. Step 3: Cross multiply
    35,665.70x = 49,218.58 × 20,558.26
  4. Step 4: Simplify right side
    35,665.70x = 1,011,848,118.38
  5. Step 5: Solve for x
    x = 1,011,848,118.38/35,665.70
  6. Step 6: Final answer
    x = 28,370.35

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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.