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Finding the Fourth Proportional to 34,498.67, 51,768.08 and 14,506.72

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Solution

The fourth proportional to 34,498.67, 51,768.08 and 14,506.72 is: 21,768.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,498.67 : 51,768.08 = 14,506.72 : x
  2. Step 2: Convert to fraction form
    34,498.67/51,768.08 = 14,506.72/x
  3. Step 3: Cross multiply
    34,498.67x = 51,768.08 × 14,506.72
  4. Step 4: Simplify right side
    34,498.67x = 750,984,782.66
  5. Step 5: Solve for x
    x = 750,984,782.66/34,498.67
  6. Step 6: Final answer
    x = 21,768.51

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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.