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Finding the Fourth Proportional to 53,838.24, 80,750.88 and 14,394.48

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Solution

The fourth proportional to 53,838.24, 80,750.88 and 14,394.48 is: 21,589.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,838.24 : 80,750.88 = 14,394.48 : x
  2. Step 2: Convert to fraction form
    53,838.24/80,750.88 = 14,394.48/x
  3. Step 3: Cross multiply
    53,838.24x = 80,750.88 × 14,394.48
  4. Step 4: Simplify right side
    53,838.24x = 1,162,366,927.14
  5. Step 5: Solve for x
    x = 1,162,366,927.14/53,838.24
  6. Step 6: Final answer
    x = 21,589.99

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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.