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Finding the Fourth Proportional to 34,200, 51,257.88 and 24,285.60

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Solution

The fourth proportional to 34,200, 51,257.88 and 24,285.60 is: 36,398.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,200 : 51,257.88 = 24,285.60 : x
  2. Step 2: Convert to fraction form
    34,200/51,257.88 = 24,285.60/x
  3. Step 3: Cross multiply
    34,200x = 51,257.88 × 24,285.60
  4. Step 4: Simplify right side
    34,200x = 1,244,828,370.53
  5. Step 5: Solve for x
    x = 1,244,828,370.53/34,200
  6. Step 6: Final answer
    x = 36,398.49

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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.