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Finding the Fourth Proportional to 31,992.80, 47,989.20 and 9,809.60

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Solution

The fourth proportional to 31,992.80, 47,989.20 and 9,809.60 is: 14,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.80 : 47,989.20 = 9,809.60 : x
  2. Step 2: Convert to fraction form
    31,992.80/47,989.20 = 9,809.60/x
  3. Step 3: Cross multiply
    31,992.80x = 47,989.20 × 9,809.60
  4. Step 4: Simplify right side
    31,992.80x = 470,754,856.32
  5. Step 5: Solve for x
    x = 470,754,856.32/31,992.80
  6. Step 6: Final answer
    x = 14,714.40

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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.