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Finding the Fourth Proportional to 53,409.88, 80,119.41 and 13,966.93

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Solution

The fourth proportional to 53,409.88, 80,119.41 and 13,966.93 is: 20,951.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,409.88 : 80,119.41 = 13,966.93 : x
  2. Step 2: Convert to fraction form
    53,409.88/80,119.41 = 13,966.93/x
  3. Step 3: Cross multiply
    53,409.88x = 80,119.41 × 13,966.93
  4. Step 4: Simplify right side
    53,409.88x = 1,119,022,191.11
  5. Step 5: Solve for x
    x = 1,119,022,191.11/53,409.88
  6. Step 6: Final answer
    x = 20,951.60

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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.