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Finding the Fourth Proportional to 107,846.64, 161,738.28 and 37,712.88

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Solution

The fourth proportional to 107,846.64, 161,738.28 and 37,712.88 is: 56,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,846.64 : 161,738.28 = 37,712.88 : x
  2. Step 2: Convert to fraction form
    107,846.64/161,738.28 = 37,712.88/x
  3. Step 3: Cross multiply
    107,846.64x = 161,738.28 × 37,712.88
  4. Step 4: Simplify right side
    107,846.64x = 6,099,616,345.05
  5. Step 5: Solve for x
    x = 6,099,616,345.05/107,846.64
  6. Step 6: Final answer
    x = 56,558.24

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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.