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Finding the Fourth Proportional to 53,615.20, 73,977.90 and 30,953.80

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Solution

The fourth proportional to 53,615.20, 73,977.90 and 30,953.80 is: 42,709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.20 : 73,977.90 = 30,953.80 : x
  2. Step 2: Convert to fraction form
    53,615.20/73,977.90 = 30,953.80/x
  3. Step 3: Cross multiply
    53,615.20x = 73,977.90 × 30,953.80
  4. Step 4: Simplify right side
    53,615.20x = 2,289,897,121.02
  5. Step 5: Solve for x
    x = 2,289,897,121.02/53,615.20
  6. Step 6: Final answer
    x = 42,709.85

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