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Finding the Fourth Proportional to 53,357.43, 80,036.13 and 13,914.44

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Solution

The fourth proportional to 53,357.43, 80,036.13 and 13,914.44 is: 20,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,357.43 : 80,036.13 = 13,914.44 : x
  2. Step 2: Convert to fraction form
    53,357.43/80,036.13 = 13,914.44/x
  3. Step 3: Cross multiply
    53,357.43x = 80,036.13 × 13,914.44
  4. Step 4: Simplify right side
    53,357.43x = 1,113,657,528.54
  5. Step 5: Solve for x
    x = 1,113,657,528.54/53,357.43
  6. Step 6: Final answer
    x = 20,871.65

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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.