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Finding the Fourth Proportional to 35,986.51, 49,661.47 and 20,071.99

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Solution

The fourth proportional to 35,986.51, 49,661.47 and 20,071.99 is: 27,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,986.51 : 49,661.47 = 20,071.99 : x
  2. Step 2: Convert to fraction form
    35,986.51/49,661.47 = 20,071.99/x
  3. Step 3: Cross multiply
    35,986.51x = 49,661.47 × 20,071.99
  4. Step 4: Simplify right side
    35,986.51x = 996,804,529.23
  5. Step 5: Solve for x
    x = 996,804,529.23/35,986.51
  6. Step 6: Final answer
    x = 27,699.39

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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.