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Finding the Fourth Proportional to 35,662.32, 49,212 and 19,746.36

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Solution

The fourth proportional to 35,662.32, 49,212 and 19,746.36 is: 27,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,662.32 : 49,212 = 19,746.36 : x
  2. Step 2: Convert to fraction form
    35,662.32/49,212 = 19,746.36/x
  3. Step 3: Cross multiply
    35,662.32x = 49,212 × 19,746.36
  4. Step 4: Simplify right side
    35,662.32x = 971,757,868.32
  5. Step 5: Solve for x
    x = 971,757,868.32/35,662.32
  6. Step 6: Final answer
    x = 27,248.87

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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.