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Finding the Fourth Proportional to 35,965, 49,631.16 and 20,050.39

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Solution

The fourth proportional to 35,965, 49,631.16 and 20,050.39 is: 27,669.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965 : 49,631.16 = 20,050.39 : x
  2. Step 2: Convert to fraction form
    35,965/49,631.16 = 20,050.39/x
  3. Step 3: Cross multiply
    35,965x = 49,631.16 × 20,050.39
  4. Step 4: Simplify right side
    35,965x = 995,124,114.15
  5. Step 5: Solve for x
    x = 995,124,114.15/35,965
  6. Step 6: Final answer
    x = 27,669.24

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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.