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Finding the Fourth Proportional to 35,971, 49,640.60 and 20,053.69

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Solution

The fourth proportional to 35,971, 49,640.60 and 20,053.69 is: 27,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971 : 49,640.60 = 20,053.69 : x
  2. Step 2: Convert to fraction form
    35,971/49,640.60 = 20,053.69/x
  3. Step 3: Cross multiply
    35,971x = 49,640.60 × 20,053.69
  4. Step 4: Simplify right side
    35,971x = 995,477,203.81
  5. Step 5: Solve for x
    x = 995,477,203.81/35,971
  6. Step 6: Final answer
    x = 27,674.44

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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.