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Finding the Fourth Proportional to 47,809.26, 71,746.56 and 16,644.51

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Solution

The fourth proportional to 47,809.26, 71,746.56 and 16,644.51 is: 24,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,809.26 : 71,746.56 = 16,644.51 : x
  2. Step 2: Convert to fraction form
    47,809.26/71,746.56 = 16,644.51/x
  3. Step 3: Cross multiply
    47,809.26x = 71,746.56 × 16,644.51
  4. Step 4: Simplify right side
    47,809.26x = 1,194,186,335.39
  5. Step 5: Solve for x
    x = 1,194,186,335.39/47,809.26
  6. Step 6: Final answer
    x = 24,978.14

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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.