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Finding the Fourth Proportional to 34,506.81, 51,771.14 and 12,319.70

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Solution

The fourth proportional to 34,506.81, 51,771.14 and 12,319.70 is: 18,483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,506.81 : 51,771.14 = 12,319.70 : x
  2. Step 2: Convert to fraction form
    34,506.81/51,771.14 = 12,319.70/x
  3. Step 3: Cross multiply
    34,506.81x = 51,771.14 × 12,319.70
  4. Step 4: Simplify right side
    34,506.81x = 637,804,593.00
  5. Step 5: Solve for x
    x = 637,804,593.00/34,506.81
  6. Step 6: Final answer
    x = 18,483.44

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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.