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Finding the Fourth Proportional to 23,049.57, 31,746.29 and 19,900.29

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Solution

The fourth proportional to 23,049.57, 31,746.29 and 19,900.29 is: 27,408.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,049.57 : 31,746.29 = 19,900.29 : x
  2. Step 2: Convert to fraction form
    23,049.57/31,746.29 = 19,900.29/x
  3. Step 3: Cross multiply
    23,049.57x = 31,746.29 × 19,900.29
  4. Step 4: Simplify right side
    23,049.57x = 631,760,277.92
  5. Step 5: Solve for x
    x = 631,760,277.92/23,049.57
  6. Step 6: Final answer
    x = 27,408.77

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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.