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Finding the Fourth Proportional to 31,524.38, 47,293.49 and 9,339.49

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Solution

The fourth proportional to 31,524.38, 47,293.49 and 9,339.49 is: 14,011.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.38 : 47,293.49 = 9,339.49 : x
  2. Step 2: Convert to fraction form
    31,524.38/47,293.49 = 9,339.49/x
  3. Step 3: Cross multiply
    31,524.38x = 47,293.49 × 9,339.49
  4. Step 4: Simplify right side
    31,524.38x = 441,697,030.22
  5. Step 5: Solve for x
    x = 441,697,030.22/31,524.38
  6. Step 6: Final answer
    x = 14,011.28

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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.