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Finding the Fourth Proportional to 52,806.21, 72,895.40 and 31,581.38

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Solution

The fourth proportional to 52,806.21, 72,895.40 and 31,581.38 is: 43,595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806.21 : 72,895.40 = 31,581.38 : x
  2. Step 2: Convert to fraction form
    52,806.21/72,895.40 = 31,581.38/x
  3. Step 3: Cross multiply
    52,806.21x = 72,895.40 × 31,581.38
  4. Step 4: Simplify right side
    52,806.21x = 2,302,136,805.27
  5. Step 5: Solve for x
    x = 2,302,136,805.27/52,806.21
  6. Step 6: Final answer
    x = 43,595.95

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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.