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Finding the Fourth Proportional to 47,629.22, 65,698.43 and 30,655.53

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Solution

The fourth proportional to 47,629.22, 65,698.43 and 30,655.53 is: 42,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,629.22 : 65,698.43 = 30,655.53 : x
  2. Step 2: Convert to fraction form
    47,629.22/65,698.43 = 30,655.53/x
  3. Step 3: Cross multiply
    47,629.22x = 65,698.43 × 30,655.53
  4. Step 4: Simplify right side
    47,629.22x = 2,014,020,038.54
  5. Step 5: Solve for x
    x = 2,014,020,038.54/47,629.22
  6. Step 6: Final answer
    x = 42,285.39

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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.