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Finding the Fourth Proportional to 61,414.36, 91,973.91 and 35,039.14

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Solution

The fourth proportional to 61,414.36, 91,973.91 and 35,039.14 is: 52,474.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,414.36 : 91,973.91 = 35,039.14 : x
  2. Step 2: Convert to fraction form
    61,414.36/91,973.91 = 35,039.14/x
  3. Step 3: Cross multiply
    61,414.36x = 91,973.91 × 35,039.14
  4. Step 4: Simplify right side
    61,414.36x = 3,222,686,347.51
  5. Step 5: Solve for x
    x = 3,222,686,347.51/61,414.36
  6. Step 6: Final answer
    x = 52,474.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.