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Finding the Fourth Proportional to 31,548.78, 47,327.76 and 14,673.69

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Solution

The fourth proportional to 31,548.78, 47,327.76 and 14,673.69 is: 22,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,548.78 : 47,327.76 = 14,673.69 : x
  2. Step 2: Convert to fraction form
    31,548.78/47,327.76 = 14,673.69/x
  3. Step 3: Cross multiply
    31,548.78x = 47,327.76 × 14,673.69
  4. Step 4: Simplify right side
    31,548.78x = 694,472,878.63
  5. Step 5: Solve for x
    x = 694,472,878.63/31,548.78
  6. Step 6: Final answer
    x = 22,012.67

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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.