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Finding the Fourth Proportional to 72,004.56, 107,973.36 and 22,071.84

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Solution

The fourth proportional to 72,004.56, 107,973.36 and 22,071.84 is: 33,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,004.56 : 107,973.36 = 22,071.84 : x
  2. Step 2: Convert to fraction form
    72,004.56/107,973.36 = 22,071.84/x
  3. Step 3: Cross multiply
    72,004.56x = 107,973.36 × 22,071.84
  4. Step 4: Simplify right side
    72,004.56x = 2,383,170,726.18
  5. Step 5: Solve for x
    x = 2,383,170,726.18/72,004.56
  6. Step 6: Final answer
    x = 33,097.50

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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.