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Finding the Fourth Proportional to 25,750.56, 38,395.20 and 25,284

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Solution

The fourth proportional to 25,750.56, 38,395.20 and 25,284 is: 37,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,750.56 : 38,395.20 = 25,284 : x
  2. Step 2: Convert to fraction form
    25,750.56/38,395.20 = 25,284/x
  3. Step 3: Cross multiply
    25,750.56x = 38,395.20 × 25,284
  4. Step 4: Simplify right side
    25,750.56x = 970,784,236.80
  5. Step 5: Solve for x
    x = 970,784,236.80/25,750.56
  6. Step 6: Final answer
    x = 37,699.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.