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Finding the Fourth Proportional to 57,696.33, 86,393.40 and 46,391.58

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Solution

The fourth proportional to 57,696.33, 86,393.40 and 46,391.58 is: 69,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696.33 : 86,393.40 = 46,391.58 : x
  2. Step 2: Convert to fraction form
    57,696.33/86,393.40 = 46,391.58/x
  3. Step 3: Cross multiply
    57,696.33x = 86,393.40 × 46,391.58
  4. Step 4: Simplify right side
    57,696.33x = 4,007,926,327.57
  5. Step 5: Solve for x
    x = 4,007,926,327.57/57,696.33
  6. Step 6: Final answer
    x = 69,465.88

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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.