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Finding the Fourth Proportional to 53,602.90, 80,408.22 and 14,159.50

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Solution

The fourth proportional to 53,602.90, 80,408.22 and 14,159.50 is: 21,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,602.90 : 80,408.22 = 14,159.50 : x
  2. Step 2: Convert to fraction form
    53,602.90/80,408.22 = 14,159.50/x
  3. Step 3: Cross multiply
    53,602.90x = 80,408.22 × 14,159.50
  4. Step 4: Simplify right side
    53,602.90x = 1,138,540,191.09
  5. Step 5: Solve for x
    x = 1,138,540,191.09/53,602.90
  6. Step 6: Final answer
    x = 21,240.27

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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.