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Finding the Fourth Proportional to 32,945.88, 45,461.92 and 18,796

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Solution

The fourth proportional to 32,945.88, 45,461.92 and 18,796 is: 25,936.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,945.88 : 45,461.92 = 18,796 : x
  2. Step 2: Convert to fraction form
    32,945.88/45,461.92 = 18,796/x
  3. Step 3: Cross multiply
    32,945.88x = 45,461.92 × 18,796
  4. Step 4: Simplify right side
    32,945.88x = 854,502,248.32
  5. Step 5: Solve for x
    x = 854,502,248.32/32,945.88
  6. Step 6: Final answer
    x = 25,936.54

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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.