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Finding the Fourth Proportional to 31,604.78, 47,403.12 and 8,233.04

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Solution

The fourth proportional to 31,604.78, 47,403.12 and 8,233.04 is: 12,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,604.78 : 47,403.12 = 8,233.04 : x
  2. Step 2: Convert to fraction form
    31,604.78/47,403.12 = 8,233.04/x
  3. Step 3: Cross multiply
    31,604.78x = 47,403.12 × 8,233.04
  4. Step 4: Simplify right side
    31,604.78x = 390,271,783.08
  5. Step 5: Solve for x
    x = 390,271,783.08/31,604.78
  6. Step 6: Final answer
    x = 12,348.50

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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.