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Finding the Fourth Proportional to 35,852.96, 49,478.36 and 19,721.49

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Solution

The fourth proportional to 35,852.96, 49,478.36 and 19,721.49 is: 27,216.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,852.96 : 49,478.36 = 19,721.49 : x
  2. Step 2: Convert to fraction form
    35,852.96/49,478.36 = 19,721.49/x
  3. Step 3: Cross multiply
    35,852.96x = 49,478.36 × 19,721.49
  4. Step 4: Simplify right side
    35,852.96x = 975,786,883.35
  5. Step 5: Solve for x
    x = 975,786,883.35/35,852.96
  6. Step 6: Final answer
    x = 27,216.36

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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.