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Finding the Fourth Proportional to 57,381.40, 86,071.65 and 33,991

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Solution

The fourth proportional to 57,381.40, 86,071.65 and 33,991 is: 50,986.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,381.40 : 86,071.65 = 33,991 : x
  2. Step 2: Convert to fraction form
    57,381.40/86,071.65 = 33,991/x
  3. Step 3: Cross multiply
    57,381.40x = 86,071.65 × 33,991
  4. Step 4: Simplify right side
    57,381.40x = 2,925,661,455.15
  5. Step 5: Solve for x
    x = 2,925,661,455.15/57,381.40
  6. Step 6: Final answer
    x = 50,986.23

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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.