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Finding the Fourth Proportional to 53,342.58, 80,041.80 and 34,618.20

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Solution

The fourth proportional to 53,342.58, 80,041.80 and 34,618.20 is: 51,945.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,342.58 : 80,041.80 = 34,618.20 : x
  2. Step 2: Convert to fraction form
    53,342.58/80,041.80 = 34,618.20/x
  3. Step 3: Cross multiply
    53,342.58x = 80,041.80 × 34,618.20
  4. Step 4: Simplify right side
    53,342.58x = 2,770,903,040.76
  5. Step 5: Solve for x
    x = 2,770,903,040.76/53,342.58
  6. Step 6: Final answer
    x = 51,945.43

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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.