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Finding the Fourth Proportional to 42,221.48, 63,338.70 and 14,513

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Solution

The fourth proportional to 42,221.48, 63,338.70 and 14,513 is: 21,771.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,221.48 : 63,338.70 = 14,513 : x
  2. Step 2: Convert to fraction form
    42,221.48/63,338.70 = 14,513/x
  3. Step 3: Cross multiply
    42,221.48x = 63,338.70 × 14,513
  4. Step 4: Simplify right side
    42,221.48x = 919,234,553.10
  5. Step 5: Solve for x
    x = 919,234,553.10/42,221.48
  6. Step 6: Final answer
    x = 21,771.73

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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.