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Finding the Fourth Proportional to 53,421.49, 80,102.63 and 21,853.70

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Solution

The fourth proportional to 53,421.49, 80,102.63 and 21,853.70 is: 32,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,421.49 : 80,102.63 = 21,853.70 : x
  2. Step 2: Convert to fraction form
    53,421.49/80,102.63 = 21,853.70/x
  3. Step 3: Cross multiply
    53,421.49x = 80,102.63 × 21,853.70
  4. Step 4: Simplify right side
    53,421.49x = 1,750,538,499.35
  5. Step 5: Solve for x
    x = 1,750,538,499.35/53,421.49
  6. Step 6: Final answer
    x = 32,768.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.