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Finding the Fourth Proportional to 42,709.34, 64,042.49 and 14,236.21

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Solution

The fourth proportional to 42,709.34, 64,042.49 and 14,236.21 is: 21,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,709.34 : 64,042.49 = 14,236.21 : x
  2. Step 2: Convert to fraction form
    42,709.34/64,042.49 = 14,236.21/x
  3. Step 3: Cross multiply
    42,709.34x = 64,042.49 × 14,236.21
  4. Step 4: Simplify right side
    42,709.34x = 911,722,016.35
  5. Step 5: Solve for x
    x = 911,722,016.35/42,709.34
  6. Step 6: Final answer
    x = 21,347.14

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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.