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Finding the Fourth Proportional to 30,348.82, 45,532.02 and 9,002.08

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Solution

The fourth proportional to 30,348.82, 45,532.02 and 9,002.08 is: 13,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,348.82 : 45,532.02 = 9,002.08 : x
  2. Step 2: Convert to fraction form
    30,348.82/45,532.02 = 9,002.08/x
  3. Step 3: Cross multiply
    30,348.82x = 45,532.02 × 9,002.08
  4. Step 4: Simplify right side
    30,348.82x = 409,882,886.60
  5. Step 5: Solve for x
    x = 409,882,886.60/30,348.82
  6. Step 6: Final answer
    x = 13,505.73

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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.