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Finding the Fourth Proportional to 71,355.16, 107,048.40 and 23,968.54

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Solution

The fourth proportional to 71,355.16, 107,048.40 and 23,968.54 is: 35,958.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,355.16 : 107,048.40 = 23,968.54 : x
  2. Step 2: Convert to fraction form
    71,355.16/107,048.40 = 23,968.54/x
  3. Step 3: Cross multiply
    71,355.16x = 107,048.40 × 23,968.54
  4. Step 4: Simplify right side
    71,355.16x = 2,565,793,857.34
  5. Step 5: Solve for x
    x = 2,565,793,857.34/71,355.16
  6. Step 6: Final answer
    x = 35,958.07

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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.