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Finding the Fourth Proportional to 31,546.53, 47,312.51 and 9,354.56

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Solution

The fourth proportional to 31,546.53, 47,312.51 and 9,354.56 is: 14,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.53 : 47,312.51 = 9,354.56 : x
  2. Step 2: Convert to fraction form
    31,546.53/47,312.51 = 9,354.56/x
  3. Step 3: Cross multiply
    31,546.53x = 47,312.51 × 9,354.56
  4. Step 4: Simplify right side
    31,546.53x = 442,587,607.63
  5. Step 5: Solve for x
    x = 442,587,607.63/31,546.53
  6. Step 6: Final answer
    x = 14,029.67

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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.