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Finding the Fourth Proportional to 97,515, 146,272.52 and 23,643

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Solution

The fourth proportional to 97,515, 146,272.52 and 23,643 is: 35,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,515 : 146,272.52 = 23,643 : x
  2. Step 2: Convert to fraction form
    97,515/146,272.52 = 23,643/x
  3. Step 3: Cross multiply
    97,515x = 146,272.52 × 23,643
  4. Step 4: Simplify right side
    97,515x = 3,458,321,190.36
  5. Step 5: Solve for x
    x = 3,458,321,190.36/97,515
  6. Step 6: Final answer
    x = 35,464.50

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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.