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Finding the Fourth Proportional to 34,715.50, 52,075.68 and 13,939

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Solution

The fourth proportional to 34,715.50, 52,075.68 and 13,939 is: 20,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715.50 : 52,075.68 = 13,939 : x
  2. Step 2: Convert to fraction form
    34,715.50/52,075.68 = 13,939/x
  3. Step 3: Cross multiply
    34,715.50x = 52,075.68 × 13,939
  4. Step 4: Simplify right side
    34,715.50x = 725,882,903.52
  5. Step 5: Solve for x
    x = 725,882,903.52/34,715.50
  6. Step 6: Final answer
    x = 20,909.48

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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.