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Finding the Fourth Proportional to 31,623.20, 47,437.20 and 9,434.84

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Solution

The fourth proportional to 31,623.20, 47,437.20 and 9,434.84 is: 14,152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,623.20 : 47,437.20 = 9,434.84 : x
  2. Step 2: Convert to fraction form
    31,623.20/47,437.20 = 9,434.84/x
  3. Step 3: Cross multiply
    31,623.20x = 47,437.20 × 9,434.84
  4. Step 4: Simplify right side
    31,623.20x = 447,562,392.05
  5. Step 5: Solve for x
    x = 447,562,392.05/31,623.20
  6. Step 6: Final answer
    x = 14,152.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.