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Finding the Fourth Proportional to 39,142.33, 53,684.29 and 37,534.87

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Solution

The fourth proportional to 39,142.33, 53,684.29 and 37,534.87 is: 51,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,142.33 : 53,684.29 = 37,534.87 : x
  2. Step 2: Convert to fraction form
    39,142.33/53,684.29 = 37,534.87/x
  3. Step 3: Cross multiply
    39,142.33x = 53,684.29 × 37,534.87
  4. Step 4: Simplify right side
    39,142.33x = 2,015,032,940.03
  5. Step 5: Solve for x
    x = 2,015,032,940.03/39,142.33
  6. Step 6: Final answer
    x = 51,479.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.