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Finding the Fourth Proportional to 82,892.36, 114,405.20 and 48,909.16

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Solution

The fourth proportional to 82,892.36, 114,405.20 and 48,909.16 is: 67,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,892.36 : 114,405.20 = 48,909.16 : x
  2. Step 2: Convert to fraction form
    82,892.36/114,405.20 = 48,909.16/x
  3. Step 3: Cross multiply
    82,892.36x = 114,405.20 × 48,909.16
  4. Step 4: Simplify right side
    82,892.36x = 5,595,462,231.63
  5. Step 5: Solve for x
    x = 5,595,462,231.63/82,892.36
  6. Step 6: Final answer
    x = 67,502.75

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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.