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Finding the Fourth Proportional to 30,481.92, 45,701.01 and 13,833.59

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Solution

The fourth proportional to 30,481.92, 45,701.01 and 13,833.59 is: 20,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,481.92 : 45,701.01 = 13,833.59 : x
  2. Step 2: Convert to fraction form
    30,481.92/45,701.01 = 13,833.59/x
  3. Step 3: Cross multiply
    30,481.92x = 45,701.01 × 13,833.59
  4. Step 4: Simplify right side
    30,481.92x = 632,208,806.42
  5. Step 5: Solve for x
    x = 632,208,806.42/30,481.92
  6. Step 6: Final answer
    x = 20,740.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.