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Finding the Fourth Proportional to 52,806.38, 72,861.46 and 31,302.90

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Solution

The fourth proportional to 52,806.38, 72,861.46 and 31,302.90 is: 43,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,806.38 : 72,861.46 = 31,302.90 : x
  2. Step 2: Convert to fraction form
    52,806.38/72,861.46 = 31,302.90/x
  3. Step 3: Cross multiply
    52,806.38x = 72,861.46 × 31,302.90
  4. Step 4: Simplify right side
    52,806.38x = 2,280,774,996.23
  5. Step 5: Solve for x
    x = 2,280,774,996.23/52,806.38
  6. Step 6: Final answer
    x = 43,191.28

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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.