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Finding the Fourth Proportional to 73,064, 109,596 and 23,816

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Solution

The fourth proportional to 73,064, 109,596 and 23,816 is: 35,724

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,064 : 109,596 = 23,816 : x
  2. Step 2: Convert to fraction form
    73,064/109,596 = 23,816/x
  3. Step 3: Cross multiply
    73,064x = 109,596 × 23,816
  4. Step 4: Simplify right side
    73,064x = 2,610,138,336
  5. Step 5: Solve for x
    x = 2,610,138,336/73,064
  6. Step 6: Final answer
    x = 35,724

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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.