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Finding the Fourth Proportional to 34,078.40, 47,031.12 and 18,970.80

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Solution

The fourth proportional to 34,078.40, 47,031.12 and 18,970.80 is: 26,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,078.40 : 47,031.12 = 18,970.80 : x
  2. Step 2: Convert to fraction form
    34,078.40/47,031.12 = 18,970.80/x
  3. Step 3: Cross multiply
    34,078.40x = 47,031.12 × 18,970.80
  4. Step 4: Simplify right side
    34,078.40x = 892,217,971.30
  5. Step 5: Solve for x
    x = 892,217,971.30/34,078.40
  6. Step 6: Final answer
    x = 26,181.33

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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.