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Finding the Fourth Proportional to 65,004, 97,506.06 and 15,756

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Solution

The fourth proportional to 65,004, 97,506.06 and 15,756 is: 23,634.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004 : 97,506.06 = 15,756 : x
  2. Step 2: Convert to fraction form
    65,004/97,506.06 = 15,756/x
  3. Step 3: Cross multiply
    65,004x = 97,506.06 × 15,756
  4. Step 4: Simplify right side
    65,004x = 1,536,305,481.36
  5. Step 5: Solve for x
    x = 1,536,305,481.36/65,004
  6. Step 6: Final answer
    x = 23,634.01

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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.