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Finding the Fourth Proportional to 53,748.40, 80,512.80 and 25,583.20

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Solution

The fourth proportional to 53,748.40, 80,512.80 and 25,583.20 is: 38,322.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,748.40 : 80,512.80 = 25,583.20 : x
  2. Step 2: Convert to fraction form
    53,748.40/80,512.80 = 25,583.20/x
  3. Step 3: Cross multiply
    53,748.40x = 80,512.80 × 25,583.20
  4. Step 4: Simplify right side
    53,748.40x = 2,059,775,064.96
  5. Step 5: Solve for x
    x = 2,059,775,064.96/53,748.40
  6. Step 6: Final answer
    x = 38,322.54

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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.