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Finding the Fourth Proportional to 82,219.84, 113,386.36 and 54,575.60

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Solution

The fourth proportional to 82,219.84, 113,386.36 and 54,575.60 is: 75,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,219.84 : 113,386.36 = 54,575.60 : x
  2. Step 2: Convert to fraction form
    82,219.84/113,386.36 = 54,575.60/x
  3. Step 3: Cross multiply
    82,219.84x = 113,386.36 × 54,575.60
  4. Step 4: Simplify right side
    82,219.84x = 6,188,128,628.82
  5. Step 5: Solve for x
    x = 6,188,128,628.82/82,219.84
  6. Step 6: Final answer
    x = 75,263.20

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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.