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Finding the Fourth Proportional to 27,875.76, 38,518.38 and 20,734.50

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Solution

The fourth proportional to 27,875.76, 38,518.38 and 20,734.50 is: 28,650.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,875.76 : 38,518.38 = 20,734.50 : x
  2. Step 2: Convert to fraction form
    27,875.76/38,518.38 = 20,734.50/x
  3. Step 3: Cross multiply
    27,875.76x = 38,518.38 × 20,734.50
  4. Step 4: Simplify right side
    27,875.76x = 798,659,350.11
  5. Step 5: Solve for x
    x = 798,659,350.11/27,875.76
  6. Step 6: Final answer
    x = 28,650.68

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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.