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Finding the Fourth Proportional to 55,742.72, 83,628.66 and 32,346.68

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Solution

The fourth proportional to 55,742.72, 83,628.66 and 32,346.68 is: 48,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,742.72 : 83,628.66 = 32,346.68 : x
  2. Step 2: Convert to fraction form
    55,742.72/83,628.66 = 32,346.68/x
  3. Step 3: Cross multiply
    55,742.72x = 83,628.66 × 32,346.68
  4. Step 4: Simplify right side
    55,742.72x = 2,705,109,503.85
  5. Step 5: Solve for x
    x = 2,705,109,503.85/55,742.72
  6. Step 6: Final answer
    x = 48,528.48

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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.