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Finding the Fourth Proportional to 30,658.91, 45,971.01 and 10,659.20

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Solution

The fourth proportional to 30,658.91, 45,971.01 and 10,659.20 is: 15,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.91 : 45,971.01 = 10,659.20 : x
  2. Step 2: Convert to fraction form
    30,658.91/45,971.01 = 10,659.20/x
  3. Step 3: Cross multiply
    30,658.91x = 45,971.01 × 10,659.20
  4. Step 4: Simplify right side
    30,658.91x = 490,013,959.94
  5. Step 5: Solve for x
    x = 490,013,959.94/30,658.91
  6. Step 6: Final answer
    x = 15,982.76

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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.