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Finding the Fourth Proportional to 53,604.38, 73,977.40 and 30,947.52

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Solution

The fourth proportional to 53,604.38, 73,977.40 and 30,947.52 is: 42,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,604.38 : 73,977.40 = 30,947.52 : x
  2. Step 2: Convert to fraction form
    53,604.38/73,977.40 = 30,947.52/x
  3. Step 3: Cross multiply
    53,604.38x = 73,977.40 × 30,947.52
  4. Step 4: Simplify right side
    53,604.38x = 2,289,416,966.02
  5. Step 5: Solve for x
    x = 2,289,416,966.02/53,604.38
  6. Step 6: Final answer
    x = 42,709.51

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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.