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Finding the Fourth Proportional to 52,806, 72,860.94 and 31,302.53

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Solution

The fourth proportional to 52,806, 72,860.94 and 31,302.53 is: 43,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806 : 72,860.94 = 31,302.53 : x
  2. Step 2: Convert to fraction form
    52,806/72,860.94 = 31,302.53/x
  3. Step 3: Cross multiply
    52,806x = 72,860.94 × 31,302.53
  4. Step 4: Simplify right side
    52,806x = 2,280,731,395.87
  5. Step 5: Solve for x
    x = 2,280,731,395.87/52,806
  6. Step 6: Final answer
    x = 43,190.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.