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Finding the Fourth Proportional to 31,684.64, 47,520.07 and 9,492.05

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Solution

The fourth proportional to 31,684.64, 47,520.07 and 9,492.05 is: 14,236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,684.64 : 47,520.07 = 9,492.05 : x
  2. Step 2: Convert to fraction form
    31,684.64/47,520.07 = 9,492.05/x
  3. Step 3: Cross multiply
    31,684.64x = 47,520.07 × 9,492.05
  4. Step 4: Simplify right side
    31,684.64x = 451,062,975.51
  5. Step 5: Solve for x
    x = 451,062,975.51/31,684.64
  6. Step 6: Final answer
    x = 14,236.02

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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.