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Finding the Fourth Proportional to 38,038.50, 57,046.68 and 14,659.44

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Solution

The fourth proportional to 38,038.50, 57,046.68 and 14,659.44 is: 21,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038.50 : 57,046.68 = 14,659.44 : x
  2. Step 2: Convert to fraction form
    38,038.50/57,046.68 = 14,659.44/x
  3. Step 3: Cross multiply
    38,038.50x = 57,046.68 × 14,659.44
  4. Step 4: Simplify right side
    38,038.50x = 836,272,382.66
  5. Step 5: Solve for x
    x = 836,272,382.66/38,038.50
  6. Step 6: Final answer
    x = 21,984.89

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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.