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Finding the Fourth Proportional to 53,980.65, 80,976.75 and 14,538.33

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Solution

The fourth proportional to 53,980.65, 80,976.75 and 14,538.33 is: 21,809.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,980.65 : 80,976.75 = 14,538.33 : x
  2. Step 2: Convert to fraction form
    53,980.65/80,976.75 = 14,538.33/x
  3. Step 3: Cross multiply
    53,980.65x = 80,976.75 × 14,538.33
  4. Step 4: Simplify right side
    53,980.65x = 1,177,266,713.83
  5. Step 5: Solve for x
    x = 1,177,266,713.83/53,980.65
  6. Step 6: Final answer
    x = 21,809.05

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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.