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Finding the Fourth Proportional to 31,937.28, 47,907.72 and 9,754.08

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Solution

The fourth proportional to 31,937.28, 47,907.72 and 9,754.08 is: 14,631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,937.28 : 47,907.72 = 9,754.08 : x
  2. Step 2: Convert to fraction form
    31,937.28/47,907.72 = 9,754.08/x
  3. Step 3: Cross multiply
    31,937.28x = 47,907.72 × 9,754.08
  4. Step 4: Simplify right side
    31,937.28x = 467,295,733.50
  5. Step 5: Solve for x
    x = 467,295,733.50/31,937.28
  6. Step 6: Final answer
    x = 14,631.67

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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.