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Finding the Fourth Proportional to 82,929.96, 114,439.03 and 47,115

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Solution

The fourth proportional to 82,929.96, 114,439.03 and 47,115 is: 65,016.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,929.96 : 114,439.03 = 47,115 : x
  2. Step 2: Convert to fraction form
    82,929.96/114,439.03 = 47,115/x
  3. Step 3: Cross multiply
    82,929.96x = 114,439.03 × 47,115
  4. Step 4: Simplify right side
    82,929.96x = 5,391,794,780.66
  5. Step 5: Solve for x
    x = 5,391,794,780.66/82,929.96
  6. Step 6: Final answer
    x = 65,016.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.