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Finding the Fourth Proportional to 53,437.20, 80,141.40 and 15,997.20

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Solution

The fourth proportional to 53,437.20, 80,141.40 and 15,997.20 is: 23,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,437.20 : 80,141.40 = 15,997.20 : x
  2. Step 2: Convert to fraction form
    53,437.20/80,141.40 = 15,997.20/x
  3. Step 3: Cross multiply
    53,437.20x = 80,141.40 × 15,997.20
  4. Step 4: Simplify right side
    53,437.20x = 1,282,038,004.08
  5. Step 5: Solve for x
    x = 1,282,038,004.08/53,437.20
  6. Step 6: Final answer
    x = 23,991.49

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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.