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Finding the Fourth Proportional to 35,742.29, 49,323.60 and 19,826.42

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Solution

The fourth proportional to 35,742.29, 49,323.60 and 19,826.42 is: 27,360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742.29 : 49,323.60 = 19,826.42 : x
  2. Step 2: Convert to fraction form
    35,742.29/49,323.60 = 19,826.42/x
  3. Step 3: Cross multiply
    35,742.29x = 49,323.60 × 19,826.42
  4. Step 4: Simplify right side
    35,742.29x = 977,910,162.89
  5. Step 5: Solve for x
    x = 977,910,162.89/35,742.29
  6. Step 6: Final answer
    x = 27,360.03

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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.