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Finding the Fourth Proportional to 54,609.52, 75,353.01 and 30,734.77

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Solution

The fourth proportional to 54,609.52, 75,353.01 and 30,734.77 is: 42,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,609.52 : 75,353.01 = 30,734.77 : x
  2. Step 2: Convert to fraction form
    54,609.52/75,353.01 = 30,734.77/x
  3. Step 3: Cross multiply
    54,609.52x = 75,353.01 × 30,734.77
  4. Step 4: Simplify right side
    54,609.52x = 2,315,957,431.16
  5. Step 5: Solve for x
    x = 2,315,957,431.16/54,609.52
  6. Step 6: Final answer
    x = 42,409.41

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1.5x scale

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.