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Finding the Fourth Proportional to 38,415.50, 53,013.39 and 20,751.50

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Solution

The fourth proportional to 38,415.50, 53,013.39 and 20,751.50 is: 28,637.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.50 : 53,013.39 = 20,751.50 : x
  2. Step 2: Convert to fraction form
    38,415.50/53,013.39 = 20,751.50/x
  3. Step 3: Cross multiply
    38,415.50x = 53,013.39 × 20,751.50
  4. Step 4: Simplify right side
    38,415.50x = 1,100,107,362.59
  5. Step 5: Solve for x
    x = 1,100,107,362.59/38,415.50
  6. Step 6: Final answer
    x = 28,637.07

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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.