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Finding the Fourth Proportional to 77,592, 116,388 and 22,192.32

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Solution

The fourth proportional to 77,592, 116,388 and 22,192.32 is: 33,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,592 : 116,388 = 22,192.32 : x
  2. Step 2: Convert to fraction form
    77,592/116,388 = 22,192.32/x
  3. Step 3: Cross multiply
    77,592x = 116,388 × 22,192.32
  4. Step 4: Simplify right side
    77,592x = 2,582,919,740.16
  5. Step 5: Solve for x
    x = 2,582,919,740.16/77,592
  6. Step 6: Final answer
    x = 33,288.48

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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.