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Finding the Fourth Proportional to 51,004, 70,392.12 and 28,648

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Solution

The fourth proportional to 51,004, 70,392.12 and 28,648 is: 39,537.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,004 : 70,392.12 = 28,648 : x
  2. Step 2: Convert to fraction form
    51,004/70,392.12 = 28,648/x
  3. Step 3: Cross multiply
    51,004x = 70,392.12 × 28,648
  4. Step 4: Simplify right side
    51,004x = 2,016,593,453.76
  5. Step 5: Solve for x
    x = 2,016,593,453.76/51,004
  6. Step 6: Final answer
    x = 39,537.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.