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Finding the Fourth Proportional to 35,742.65, 49,323.47 and 19,826.82

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Solution

The fourth proportional to 35,742.65, 49,323.47 and 19,826.82 is: 27,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,742.65 : 49,323.47 = 19,826.82 : x
  2. Step 2: Convert to fraction form
    35,742.65/49,323.47 = 19,826.82/x
  3. Step 3: Cross multiply
    35,742.65x = 49,323.47 × 19,826.82
  4. Step 4: Simplify right side
    35,742.65x = 977,927,462.33
  5. Step 5: Solve for x
    x = 977,927,462.33/35,742.65
  6. Step 6: Final answer
    x = 27,360.24

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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.