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Finding the Fourth Proportional to 34,760.94, 52,149 and 12,572

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Solution

The fourth proportional to 34,760.94, 52,149 and 12,572 is: 18,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,760.94 : 52,149 = 12,572 : x
  2. Step 2: Convert to fraction form
    34,760.94/52,149 = 12,572/x
  3. Step 3: Cross multiply
    34,760.94x = 52,149 × 12,572
  4. Step 4: Simplify right side
    34,760.94x = 655,617,228
  5. Step 5: Solve for x
    x = 655,617,228/34,760.94
  6. Step 6: Final answer
    x = 18,860.75

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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.