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Finding the Fourth Proportional to 34,027, 51,062.40 and 13,250.50

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Solution

The fourth proportional to 34,027, 51,062.40 and 13,250.50 is: 19,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,027 : 51,062.40 = 13,250.50 : x
  2. Step 2: Convert to fraction form
    34,027/51,062.40 = 13,250.50/x
  3. Step 3: Cross multiply
    34,027x = 51,062.40 × 13,250.50
  4. Step 4: Simplify right side
    34,027x = 676,602,331.20
  5. Step 5: Solve for x
    x = 676,602,331.20/34,027
  6. Step 6: Final answer
    x = 19,884.28

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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.