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Finding the Fourth Proportional to 38,909.76, 53,620.56 and 28,282.56

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Solution

The fourth proportional to 38,909.76, 53,620.56 and 28,282.56 is: 38,975.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,909.76 : 53,620.56 = 28,282.56 : x
  2. Step 2: Convert to fraction form
    38,909.76/53,620.56 = 28,282.56/x
  3. Step 3: Cross multiply
    38,909.76x = 53,620.56 × 28,282.56
  4. Step 4: Simplify right side
    38,909.76x = 1,516,526,705.43
  5. Step 5: Solve for x
    x = 1,516,526,705.43/38,909.76
  6. Step 6: Final answer
    x = 38,975.48

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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.