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Finding the Fourth Proportional to 34,062.12, 51,083.46 and 14,337

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Solution

The fourth proportional to 34,062.12, 51,083.46 and 14,337 is: 21,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,062.12 : 51,083.46 = 14,337 : x
  2. Step 2: Convert to fraction form
    34,062.12/51,083.46 = 14,337/x
  3. Step 3: Cross multiply
    34,062.12x = 51,083.46 × 14,337
  4. Step 4: Simplify right side
    34,062.12x = 732,383,566.02
  5. Step 5: Solve for x
    x = 732,383,566.02/34,062.12
  6. Step 6: Final answer
    x = 21,501.41

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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.