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Finding the Fourth Proportional to 30,532.34, 45,805.08 and 9,471.96

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Solution

The fourth proportional to 30,532.34, 45,805.08 and 9,471.96 is: 14,209.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532.34 : 45,805.08 = 9,471.96 : x
  2. Step 2: Convert to fraction form
    30,532.34/45,805.08 = 9,471.96/x
  3. Step 3: Cross multiply
    30,532.34x = 45,805.08 × 9,471.96
  4. Step 4: Simplify right side
    30,532.34x = 433,863,885.56
  5. Step 5: Solve for x
    x = 433,863,885.56/30,532.34
  6. Step 6: Final answer
    x = 14,209.98

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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.