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Finding the Fourth Proportional to 38,419.89, 53,000.65 and 25,676.23

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Solution

The fourth proportional to 38,419.89, 53,000.65 and 25,676.23 is: 35,420.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.89 : 53,000.65 = 25,676.23 : x
  2. Step 2: Convert to fraction form
    38,419.89/53,000.65 = 25,676.23/x
  3. Step 3: Cross multiply
    38,419.89x = 53,000.65 × 25,676.23
  4. Step 4: Simplify right side
    38,419.89x = 1,360,856,751.17
  5. Step 5: Solve for x
    x = 1,360,856,751.17/38,419.89
  6. Step 6: Final answer
    x = 35,420.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.