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Finding the Fourth Proportional to 47,096.88, 64,989.92 and 26,949.12

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Solution

The fourth proportional to 47,096.88, 64,989.92 and 26,949.12 is: 37,187.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,096.88 : 64,989.92 = 26,949.12 : x
  2. Step 2: Convert to fraction form
    47,096.88/64,989.92 = 26,949.12/x
  3. Step 3: Cross multiply
    47,096.88x = 64,989.92 × 26,949.12
  4. Step 4: Simplify right side
    47,096.88x = 1,751,421,152.87
  5. Step 5: Solve for x
    x = 1,751,421,152.87/47,096.88
  6. Step 6: Final answer
    x = 37,187.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.