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Finding the Fourth Proportional to 71,663.36, 107,541.86 and 27,290.54

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Solution

The fourth proportional to 71,663.36, 107,541.86 and 27,290.54 is: 40,953.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,663.36 : 107,541.86 = 27,290.54 : x
  2. Step 2: Convert to fraction form
    71,663.36/107,541.86 = 27,290.54/x
  3. Step 3: Cross multiply
    71,663.36x = 107,541.86 × 27,290.54
  4. Step 4: Simplify right side
    71,663.36x = 2,934,875,432.00
  5. Step 5: Solve for x
    x = 2,934,875,432.00/71,663.36
  6. Step 6: Final answer
    x = 40,953.64

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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.