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Finding the Fourth Proportional to 71,802.61, 107,707.96 and 21,884.33

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Solution

The fourth proportional to 71,802.61, 107,707.96 and 21,884.33 is: 32,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,802.61 : 107,707.96 = 21,884.33 : x
  2. Step 2: Convert to fraction form
    71,802.61/107,707.96 = 21,884.33/x
  3. Step 3: Cross multiply
    71,802.61x = 107,707.96 × 21,884.33
  4. Step 4: Simplify right side
    71,802.61x = 2,357,116,540.27
  5. Step 5: Solve for x
    x = 2,357,116,540.27/71,802.61
  6. Step 6: Final answer
    x = 32,827.73

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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.