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Finding the Fourth Proportional to 45,836, 68,754 and 13,004

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Solution

The fourth proportional to 45,836, 68,754 and 13,004 is: 19,506

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,836 : 68,754 = 13,004 : x
  2. Step 2: Convert to fraction form
    45,836/68,754 = 13,004/x
  3. Step 3: Cross multiply
    45,836x = 68,754 × 13,004
  4. Step 4: Simplify right side
    45,836x = 894,077,016
  5. Step 5: Solve for x
    x = 894,077,016/45,836
  6. Step 6: Final answer
    x = 19,506

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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.