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Finding the Fourth Proportional to 33,038, 45,586.56 and 18,697.76

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Solution

The fourth proportional to 33,038, 45,586.56 and 18,697.76 is: 25,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,038 : 45,586.56 = 18,697.76 : x
  2. Step 2: Convert to fraction form
    33,038/45,586.56 = 18,697.76/x
  3. Step 3: Cross multiply
    33,038x = 45,586.56 × 18,697.76
  4. Step 4: Simplify right side
    33,038x = 852,366,558.11
  5. Step 5: Solve for x
    x = 852,366,558.11/33,038
  6. Step 6: Final answer
    x = 25,799.58

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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.