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Finding the Fourth Proportional to 53,848.80, 80,809.65 and 24,251.40

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Solution

The fourth proportional to 53,848.80, 80,809.65 and 24,251.40 is: 36,393.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,848.80 : 80,809.65 = 24,251.40 : x
  2. Step 2: Convert to fraction form
    53,848.80/80,809.65 = 24,251.40/x
  3. Step 3: Cross multiply
    53,848.80x = 80,809.65 × 24,251.40
  4. Step 4: Simplify right side
    53,848.80x = 1,959,747,146.01
  5. Step 5: Solve for x
    x = 1,959,747,146.01/53,848.80
  6. Step 6: Final answer
    x = 36,393.52

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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.