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Finding the Fourth Proportional to 109,676.64, 164,582.64 and 43,105.08

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Solution

The fourth proportional to 109,676.64, 164,582.64 and 43,105.08 is: 64,684.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,676.64 : 164,582.64 = 43,105.08 : x
  2. Step 2: Convert to fraction form
    109,676.64/164,582.64 = 43,105.08/x
  3. Step 3: Cross multiply
    109,676.64x = 164,582.64 × 43,105.08
  4. Step 4: Simplify right side
    109,676.64x = 7,094,347,863.81
  5. Step 5: Solve for x
    x = 7,094,347,863.81/109,676.64
  6. Step 6: Final answer
    x = 64,684.22

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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.