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Finding the Fourth Proportional to 34,215.68, 51,323.76 and 10,522.98

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Solution

The fourth proportional to 34,215.68, 51,323.76 and 10,522.98 is: 15,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,215.68 : 51,323.76 = 10,522.98 : x
  2. Step 2: Convert to fraction form
    34,215.68/51,323.76 = 10,522.98/x
  3. Step 3: Cross multiply
    34,215.68x = 51,323.76 × 10,522.98
  4. Step 4: Simplify right side
    34,215.68x = 540,078,900.00
  5. Step 5: Solve for x
    x = 540,078,900.00/34,215.68
  6. Step 6: Final answer
    x = 15,784.54

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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.