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Finding the Fourth Proportional to 34,100.08, 51,138.10 and 13,046

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Solution

The fourth proportional to 34,100.08, 51,138.10 and 13,046 is: 19,564.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,100.08 : 51,138.10 = 13,046 : x
  2. Step 2: Convert to fraction form
    34,100.08/51,138.10 = 13,046/x
  3. Step 3: Cross multiply
    34,100.08x = 51,138.10 × 13,046
  4. Step 4: Simplify right side
    34,100.08x = 667,147,652.60
  5. Step 5: Solve for x
    x = 667,147,652.60/34,100.08
  6. Step 6: Final answer
    x = 19,564.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.