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Finding the Fourth Proportional to 31,706.86, 47,568.18 and 9,520.63

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Solution

The fourth proportional to 31,706.86, 47,568.18 and 9,520.63 is: 14,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.86 : 47,568.18 = 9,520.63 : x
  2. Step 2: Convert to fraction form
    31,706.86/47,568.18 = 9,520.63/x
  3. Step 3: Cross multiply
    31,706.86x = 47,568.18 × 9,520.63
  4. Step 4: Simplify right side
    31,706.86x = 452,879,041.55
  5. Step 5: Solve for x
    x = 452,879,041.55/31,706.86
  6. Step 6: Final answer
    x = 14,283.31

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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.