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Finding the Fourth Proportional to 47,765.90, 65,935.01 and 41,024.48

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Solution

The fourth proportional to 47,765.90, 65,935.01 and 41,024.48 is: 56,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,765.90 : 65,935.01 = 41,024.48 : x
  2. Step 2: Convert to fraction form
    47,765.90/65,935.01 = 41,024.48/x
  3. Step 3: Cross multiply
    47,765.90x = 65,935.01 × 41,024.48
  4. Step 4: Simplify right side
    47,765.90x = 2,704,949,271.93
  5. Step 5: Solve for x
    x = 2,704,949,271.93/47,765.90
  6. Step 6: Final answer
    x = 56,629.29

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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.