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Finding the Fourth Proportional to 35,832.70, 49,435.34 and 23,084.92

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Solution

The fourth proportional to 35,832.70, 49,435.34 and 23,084.92 is: 31,848.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.70 : 49,435.34 = 23,084.92 : x
  2. Step 2: Convert to fraction form
    35,832.70/49,435.34 = 23,084.92/x
  3. Step 3: Cross multiply
    35,832.70x = 49,435.34 × 23,084.92
  4. Step 4: Simplify right side
    35,832.70x = 1,141,210,869.07
  5. Step 5: Solve for x
    x = 1,141,210,869.07/35,832.70
  6. Step 6: Final answer
    x = 31,848.31

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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.