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Finding the Fourth Proportional to 97,461.73, 146,192.60 and 23,589.73

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Solution

The fourth proportional to 97,461.73, 146,192.60 and 23,589.73 is: 35,384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,461.73 : 146,192.60 = 23,589.73 : x
  2. Step 2: Convert to fraction form
    97,461.73/146,192.60 = 23,589.73/x
  3. Step 3: Cross multiply
    97,461.73x = 146,192.60 × 23,589.73
  4. Step 4: Simplify right side
    97,461.73x = 3,448,643,962.00
  5. Step 5: Solve for x
    x = 3,448,643,962.00/97,461.73
  6. Step 6: Final answer
    x = 35,384.60

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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.