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Finding the Fourth Proportional to 43,385.52, 65,055.24 and 19,992

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Solution

The fourth proportional to 43,385.52, 65,055.24 and 19,992 is: 29,977.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,385.52 : 65,055.24 = 19,992 : x
  2. Step 2: Convert to fraction form
    43,385.52/65,055.24 = 19,992/x
  3. Step 3: Cross multiply
    43,385.52x = 65,055.24 × 19,992
  4. Step 4: Simplify right side
    43,385.52x = 1,300,584,358.08
  5. Step 5: Solve for x
    x = 1,300,584,358.08/43,385.52
  6. Step 6: Final answer
    x = 29,977.38

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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.