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Finding the Fourth Proportional to 34,330.50, 51,496.06 and 13,554

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Solution

The fourth proportional to 34,330.50, 51,496.06 and 13,554 is: 20,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,330.50 : 51,496.06 = 13,554 : x
  2. Step 2: Convert to fraction form
    34,330.50/51,496.06 = 13,554/x
  3. Step 3: Cross multiply
    34,330.50x = 51,496.06 × 13,554
  4. Step 4: Simplify right side
    34,330.50x = 697,977,597.24
  5. Step 5: Solve for x
    x = 697,977,597.24/34,330.50
  6. Step 6: Final answer
    x = 20,331.12

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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.