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Finding the Fourth Proportional to 36,295.76, 54,432.12 and 11,666

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Solution

The fourth proportional to 36,295.76, 54,432.12 and 11,666 is: 17,495.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,295.76 : 54,432.12 = 11,666 : x
  2. Step 2: Convert to fraction form
    36,295.76/54,432.12 = 11,666/x
  3. Step 3: Cross multiply
    36,295.76x = 54,432.12 × 11,666
  4. Step 4: Simplify right side
    36,295.76x = 635,005,111.92
  5. Step 5: Solve for x
    x = 635,005,111.92/36,295.76
  6. Step 6: Final answer
    x = 17,495.30

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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.