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Finding the Fourth Proportional to 82,411, 113,727.18 and 44,685.24

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Solution

The fourth proportional to 82,411, 113,727.18 and 44,685.24 is: 61,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,411 : 113,727.18 = 44,685.24 : x
  2. Step 2: Convert to fraction form
    82,411/113,727.18 = 44,685.24/x
  3. Step 3: Cross multiply
    82,411x = 113,727.18 × 44,685.24
  4. Step 4: Simplify right side
    82,411x = 5,081,926,332.82
  5. Step 5: Solve for x
    x = 5,081,926,332.82/82,411
  6. Step 6: Final answer
    x = 61,665.63

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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.