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Finding the Fourth Proportional to 55,969.68, 83,695.32 and 43,346.64

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Solution

The fourth proportional to 55,969.68, 83,695.32 and 43,346.64 is: 64,819.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,969.68 : 83,695.32 = 43,346.64 : x
  2. Step 2: Convert to fraction form
    55,969.68/83,695.32 = 43,346.64/x
  3. Step 3: Cross multiply
    55,969.68x = 83,695.32 × 43,346.64
  4. Step 4: Simplify right side
    55,969.68x = 3,627,910,905.72
  5. Step 5: Solve for x
    x = 3,627,910,905.72/55,969.68
  6. Step 6: Final answer
    x = 64,819.22

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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.