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Finding the Fourth Proportional to 53,405.97, 80,157.11 and 28,466.79

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Solution

The fourth proportional to 53,405.97, 80,157.11 and 28,466.79 is: 42,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,405.97 : 80,157.11 = 28,466.79 : x
  2. Step 2: Convert to fraction form
    53,405.97/80,157.11 = 28,466.79/x
  3. Step 3: Cross multiply
    53,405.97x = 80,157.11 × 28,466.79
  4. Step 4: Simplify right side
    53,405.97x = 2,281,815,475.04
  5. Step 5: Solve for x
    x = 2,281,815,475.04/53,405.97
  6. Step 6: Final answer
    x = 42,725.85

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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.