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Finding the Fourth Proportional to 82,926.90, 114,439.16 and 47,116.96

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Solution

The fourth proportional to 82,926.90, 114,439.16 and 47,116.96 is: 65,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,926.90 : 114,439.16 = 47,116.96 : x
  2. Step 2: Convert to fraction form
    82,926.90/114,439.16 = 47,116.96/x
  3. Step 3: Cross multiply
    82,926.90x = 114,439.16 × 47,116.96
  4. Step 4: Simplify right side
    82,926.90x = 5,392,025,088.57
  5. Step 5: Solve for x
    x = 5,392,025,088.57/82,926.90
  6. Step 6: Final answer
    x = 65,021.42

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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.