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Finding the Fourth Proportional to 53,885.40, 80,822.40 and 14,446.50

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Solution

The fourth proportional to 53,885.40, 80,822.40 and 14,446.50 is: 21,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,885.40 : 80,822.40 = 14,446.50 : x
  2. Step 2: Convert to fraction form
    53,885.40/80,822.40 = 14,446.50/x
  3. Step 3: Cross multiply
    53,885.40x = 80,822.40 × 14,446.50
  4. Step 4: Simplify right side
    53,885.40x = 1,167,600,801.60
  5. Step 5: Solve for x
    x = 1,167,600,801.60/53,885.40
  6. Step 6: Final answer
    x = 21,668.22

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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.