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Finding the Fourth Proportional to 34,482.56, 51,724.02 and 13,706.12

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Solution

The fourth proportional to 34,482.56, 51,724.02 and 13,706.12 is: 20,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,482.56 : 51,724.02 = 13,706.12 : x
  2. Step 2: Convert to fraction form
    34,482.56/51,724.02 = 13,706.12/x
  3. Step 3: Cross multiply
    34,482.56x = 51,724.02 × 13,706.12
  4. Step 4: Simplify right side
    34,482.56x = 708,935,625.00
  5. Step 5: Solve for x
    x = 708,935,625.00/34,482.56
  6. Step 6: Final answer
    x = 20,559.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.