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Finding the Fourth Proportional to 34,965.57, 52,401.65 and 12,758.07

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Solution

The fourth proportional to 34,965.57, 52,401.65 and 12,758.07 is: 19,120.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,965.57 : 52,401.65 = 12,758.07 : x
  2. Step 2: Convert to fraction form
    34,965.57/52,401.65 = 12,758.07/x
  3. Step 3: Cross multiply
    34,965.57x = 52,401.65 × 12,758.07
  4. Step 4: Simplify right side
    34,965.57x = 668,543,855.03
  5. Step 5: Solve for x
    x = 668,543,855.03/34,965.57
  6. Step 6: Final answer
    x = 19,120.06

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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.