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Finding the Fourth Proportional to 32,235, 44,489.16 and 19,667.04

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Solution

The fourth proportional to 32,235, 44,489.16 and 19,667.04 is: 27,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,235 : 44,489.16 = 19,667.04 : x
  2. Step 2: Convert to fraction form
    32,235/44,489.16 = 19,667.04/x
  3. Step 3: Cross multiply
    32,235x = 44,489.16 × 19,667.04
  4. Step 4: Simplify right side
    32,235x = 874,970,089.29
  5. Step 5: Solve for x
    x = 874,970,089.29/32,235
  6. Step 6: Final answer
    x = 27,143.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.