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Finding the Fourth Proportional to 35,749.60, 49,338.83 and 20,642.24

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Solution

The fourth proportional to 35,749.60, 49,338.83 and 20,642.24 is: 28,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,749.60 : 49,338.83 = 20,642.24 : x
  2. Step 2: Convert to fraction form
    35,749.60/49,338.83 = 20,642.24/x
  3. Step 3: Cross multiply
    35,749.60x = 49,338.83 × 20,642.24
  4. Step 4: Simplify right side
    35,749.60x = 1,018,464,174.16
  5. Step 5: Solve for x
    x = 1,018,464,174.16/35,749.60
  6. Step 6: Final answer
    x = 28,488.82

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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.