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Finding the Fourth Proportional to 35,738.70, 49,317.72 and 19,822.80

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Solution

The fourth proportional to 35,738.70, 49,317.72 and 19,822.80 is: 27,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.70 : 49,317.72 = 19,822.80 : x
  2. Step 2: Convert to fraction form
    35,738.70/49,317.72 = 19,822.80/x
  3. Step 3: Cross multiply
    35,738.70x = 49,317.72 × 19,822.80
  4. Step 4: Simplify right side
    35,738.70x = 977,615,300.02
  5. Step 5: Solve for x
    x = 977,615,300.02/35,738.70
  6. Step 6: Final answer
    x = 27,354.53

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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.