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Finding the Fourth Proportional to 53,905.40, 80,858.10 and 14,461.52

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Solution

The fourth proportional to 53,905.40, 80,858.10 and 14,461.52 is: 21,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,905.40 : 80,858.10 = 14,461.52 : x
  2. Step 2: Convert to fraction form
    53,905.40/80,858.10 = 14,461.52/x
  3. Step 3: Cross multiply
    53,905.40x = 80,858.10 × 14,461.52
  4. Step 4: Simplify right side
    53,905.40x = 1,169,331,030.31
  5. Step 5: Solve for x
    x = 1,169,331,030.31/53,905.40
  6. Step 6: Final answer
    x = 21,692.28

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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.