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Finding the Fourth Proportional to 47,791.68, 65,916 and 42,419.76

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Solution

The fourth proportional to 47,791.68, 65,916 and 42,419.76 is: 58,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,791.68 : 65,916 = 42,419.76 : x
  2. Step 2: Convert to fraction form
    47,791.68/65,916 = 42,419.76/x
  3. Step 3: Cross multiply
    47,791.68x = 65,916 × 42,419.76
  4. Step 4: Simplify right side
    47,791.68x = 2,796,140,900.16
  5. Step 5: Solve for x
    x = 2,796,140,900.16/47,791.68
  6. Step 6: Final answer
    x = 58,506.86

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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.