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Finding the Fourth Proportional to 31,934.28, 47,903.22 and 9,751.08

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Solution

The fourth proportional to 31,934.28, 47,903.22 and 9,751.08 is: 14,627.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,934.28 : 47,903.22 = 9,751.08 : x
  2. Step 2: Convert to fraction form
    31,934.28/47,903.22 = 9,751.08/x
  3. Step 3: Cross multiply
    31,934.28x = 47,903.22 × 9,751.08
  4. Step 4: Simplify right side
    31,934.28x = 467,108,130.48
  5. Step 5: Solve for x
    x = 467,108,130.48/31,934.28
  6. Step 6: Final answer
    x = 14,627.17

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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.