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Finding the Fourth Proportional to 53,703.72, 80,534.88 and 20,406.24

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Solution

The fourth proportional to 53,703.72, 80,534.88 and 20,406.24 is: 30,601.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,703.72 : 80,534.88 = 20,406.24 : x
  2. Step 2: Convert to fraction form
    53,703.72/80,534.88 = 20,406.24/x
  3. Step 3: Cross multiply
    53,703.72x = 80,534.88 × 20,406.24
  4. Step 4: Simplify right side
    53,703.72x = 1,643,414,089.65
  5. Step 5: Solve for x
    x = 1,643,414,089.65/53,703.72
  6. Step 6: Final answer
    x = 30,601.49

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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.