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Finding the Fourth Proportional to 34,751.73, 52,127.14 and 8,456.50

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Solution

The fourth proportional to 34,751.73, 52,127.14 and 8,456.50 is: 12,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,751.73 : 52,127.14 = 8,456.50 : x
  2. Step 2: Convert to fraction form
    34,751.73/52,127.14 = 8,456.50/x
  3. Step 3: Cross multiply
    34,751.73x = 52,127.14 × 8,456.50
  4. Step 4: Simplify right side
    34,751.73x = 440,813,159.41
  5. Step 5: Solve for x
    x = 440,813,159.41/34,751.73
  6. Step 6: Final answer
    x = 12,684.64

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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.