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Finding the Fourth Proportional to 52,594.56, 78,914.96 and 27,628.81

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Solution

The fourth proportional to 52,594.56, 78,914.96 and 27,628.81 is: 41,455.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,594.56 : 78,914.96 = 27,628.81 : x
  2. Step 2: Convert to fraction form
    52,594.56/78,914.96 = 27,628.81/x
  3. Step 3: Cross multiply
    52,594.56x = 78,914.96 × 27,628.81
  4. Step 4: Simplify right side
    52,594.56x = 2,180,326,204.17
  5. Step 5: Solve for x
    x = 2,180,326,204.17/52,594.56
  6. Step 6: Final answer
    x = 41,455.36

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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.