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Finding the Fourth Proportional to 66,205.69, 91,365.63 and 35,993.06

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Solution

The fourth proportional to 66,205.69, 91,365.63 and 35,993.06 is: 49,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,205.69 : 91,365.63 = 35,993.06 : x
  2. Step 2: Convert to fraction form
    66,205.69/91,365.63 = 35,993.06/x
  3. Step 3: Cross multiply
    66,205.69x = 91,365.63 × 35,993.06
  4. Step 4: Simplify right side
    66,205.69x = 3,288,528,602.53
  5. Step 5: Solve for x
    x = 3,288,528,602.53/66,205.69
  6. Step 6: Final answer
    x = 49,671.39

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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.