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Finding the Fourth Proportional to 47,709.38, 71,577.04 and 14,430.54

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Solution

The fourth proportional to 47,709.38, 71,577.04 and 14,430.54 is: 21,649.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,709.38 : 71,577.04 = 14,430.54 : x
  2. Step 2: Convert to fraction form
    47,709.38/71,577.04 = 14,430.54/x
  3. Step 3: Cross multiply
    47,709.38x = 71,577.04 × 14,430.54
  4. Step 4: Simplify right side
    47,709.38x = 1,032,895,338.80
  5. Step 5: Solve for x
    x = 1,032,895,338.80/47,709.38
  6. Step 6: Final answer
    x = 21,649.73

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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.