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Finding the Fourth Proportional to 30,751, 46,126.54 and 8,564.36

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Solution

The fourth proportional to 30,751, 46,126.54 and 8,564.36 is: 12,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751 : 46,126.54 = 8,564.36 : x
  2. Step 2: Convert to fraction form
    30,751/46,126.54 = 8,564.36/x
  3. Step 3: Cross multiply
    30,751x = 46,126.54 × 8,564.36
  4. Step 4: Simplify right side
    30,751x = 395,044,294.11
  5. Step 5: Solve for x
    x = 395,044,294.11/30,751
  6. Step 6: Final answer
    x = 12,846.55

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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.