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Finding the Fourth Proportional to 82,219.68, 113,463.36 and 44,494.20

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Solution

The fourth proportional to 82,219.68, 113,463.36 and 44,494.20 is: 61,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.68 : 113,463.36 = 44,494.20 : x
  2. Step 2: Convert to fraction form
    82,219.68/113,463.36 = 44,494.20/x
  3. Step 3: Cross multiply
    82,219.68x = 113,463.36 × 44,494.20
  4. Step 4: Simplify right side
    82,219.68x = 5,048,461,432.51
  5. Step 5: Solve for x
    x = 5,048,461,432.51/82,219.68
  6. Step 6: Final answer
    x = 61,402.11

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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.