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Finding the Fourth Proportional to 31,867.03, 47,800.53 and 9,680.32

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Solution

The fourth proportional to 31,867.03, 47,800.53 and 9,680.32 is: 14,520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,867.03 : 47,800.53 = 9,680.32 : x
  2. Step 2: Convert to fraction form
    31,867.03/47,800.53 = 9,680.32/x
  3. Step 3: Cross multiply
    31,867.03x = 47,800.53 × 9,680.32
  4. Step 4: Simplify right side
    31,867.03x = 462,724,426.57
  5. Step 5: Solve for x
    x = 462,724,426.57/31,867.03
  6. Step 6: Final answer
    x = 14,520.48

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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.