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Finding the Fourth Proportional to 53,905.40, 80,852.40 and 14,466.50

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Solution

The fourth proportional to 53,905.40, 80,852.40 and 14,466.50 is: 21,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.40 : 80,852.40 = 14,466.50 : x
  2. Step 2: Convert to fraction form
    53,905.40/80,852.40 = 14,466.50/x
  3. Step 3: Cross multiply
    53,905.40x = 80,852.40 × 14,466.50
  4. Step 4: Simplify right side
    53,905.40x = 1,169,651,244.60
  5. Step 5: Solve for x
    x = 1,169,651,244.60/53,905.40
  6. Step 6: Final answer
    x = 21,698.22

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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.