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Finding the Fourth Proportional to 34,657.64, 47,684.58 and 30,608.36

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Solution

The fourth proportional to 34,657.64, 47,684.58 and 30,608.36 is: 42,113.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.64 : 47,684.58 = 30,608.36 : x
  2. Step 2: Convert to fraction form
    34,657.64/47,684.58 = 30,608.36/x
  3. Step 3: Cross multiply
    34,657.64x = 47,684.58 × 30,608.36
  4. Step 4: Simplify right side
    34,657.64x = 1,459,546,791.09
  5. Step 5: Solve for x
    x = 1,459,546,791.09/34,657.64
  6. Step 6: Final answer
    x = 42,113.28

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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.