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Finding the Fourth Proportional to 34,657.63, 51,735.76 and 30,453.84

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Solution

The fourth proportional to 34,657.63, 51,735.76 and 30,453.84 is: 45,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.63 : 51,735.76 = 30,453.84 : x
  2. Step 2: Convert to fraction form
    34,657.63/51,735.76 = 30,453.84/x
  3. Step 3: Cross multiply
    34,657.63x = 51,735.76 × 30,453.84
  4. Step 4: Simplify right side
    34,657.63x = 1,575,552,481.18
  5. Step 5: Solve for x
    x = 1,575,552,481.18/34,657.63
  6. Step 6: Final answer
    x = 45,460.48

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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.