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Finding the Fourth Proportional to 38,833.52, 53,570 and 24,485.56

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Solution

The fourth proportional to 38,833.52, 53,570 and 24,485.56 is: 33,777.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,833.52 : 53,570 = 24,485.56 : x
  2. Step 2: Convert to fraction form
    38,833.52/53,570 = 24,485.56/x
  3. Step 3: Cross multiply
    38,833.52x = 53,570 × 24,485.56
  4. Step 4: Simplify right side
    38,833.52x = 1,311,691,449.20
  5. Step 5: Solve for x
    x = 1,311,691,449.20/38,833.52
  6. Step 6: Final answer
    x = 33,777.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.