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Finding the Fourth Proportional to 53,873.40, 80,788.50 and 31,692.60

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Solution

The fourth proportional to 53,873.40, 80,788.50 and 31,692.60 is: 47,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,873.40 : 80,788.50 = 31,692.60 : x
  2. Step 2: Convert to fraction form
    53,873.40/80,788.50 = 31,692.60/x
  3. Step 3: Cross multiply
    53,873.40x = 80,788.50 × 31,692.60
  4. Step 4: Simplify right side
    53,873.40x = 2,560,397,615.10
  5. Step 5: Solve for x
    x = 2,560,397,615.10/53,873.40
  6. Step 6: Final answer
    x = 47,526.19

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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.