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Finding the Fourth Proportional to 53,405.85, 80,101.82 and 13,966.01

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Solution

The fourth proportional to 53,405.85, 80,101.82 and 13,966.01 is: 20,947.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,405.85 : 80,101.82 = 13,966.01 : x
  2. Step 2: Convert to fraction form
    53,405.85/80,101.82 = 13,966.01/x
  3. Step 3: Cross multiply
    53,405.85x = 80,101.82 × 13,966.01
  4. Step 4: Simplify right side
    53,405.85x = 1,118,702,453.54
  5. Step 5: Solve for x
    x = 1,118,702,453.54/53,405.85
  6. Step 6: Final answer
    x = 20,947.19

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Why These Related Problems?

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