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Finding the Fourth Proportional to 72,092, 108,155.36 and 22,844

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Solution

The fourth proportional to 72,092, 108,155.36 and 22,844 is: 34,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,092 : 108,155.36 = 22,844 : x
  2. Step 2: Convert to fraction form
    72,092/108,155.36 = 22,844/x
  3. Step 3: Cross multiply
    72,092x = 108,155.36 × 22,844
  4. Step 4: Simplify right side
    72,092x = 2,470,701,043.84
  5. Step 5: Solve for x
    x = 2,470,701,043.84/72,092
  6. Step 6: Final answer
    x = 34,271.50

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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.