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Finding the Fourth Proportional to 34,405.74, 47,459.75 and 21,638.66

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Solution

The fourth proportional to 34,405.74, 47,459.75 and 21,638.66 is: 29,848.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,405.74 : 47,459.75 = 21,638.66 : x
  2. Step 2: Convert to fraction form
    34,405.74/47,459.75 = 21,638.66/x
  3. Step 3: Cross multiply
    34,405.74x = 47,459.75 × 21,638.66
  4. Step 4: Simplify right side
    34,405.74x = 1,026,965,048.44
  5. Step 5: Solve for x
    x = 1,026,965,048.44/34,405.74
  6. Step 6: Final answer
    x = 29,848.65

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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.