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Finding the Fourth Proportional to 31,811.39, 47,717.07 and 9,624.26

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Solution

The fourth proportional to 31,811.39, 47,717.07 and 9,624.26 is: 14,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,811.39 : 47,717.07 = 9,624.26 : x
  2. Step 2: Convert to fraction form
    31,811.39/47,717.07 = 9,624.26/x
  3. Step 3: Cross multiply
    31,811.39x = 47,717.07 × 9,624.26
  4. Step 4: Simplify right side
    31,811.39x = 459,241,488.12
  5. Step 5: Solve for x
    x = 459,241,488.12/31,811.39
  6. Step 6: Final answer
    x = 14,436.39

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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.