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Finding the Fourth Proportional to 82,478.49, 113,913.59 and 55,574.34

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Solution

The fourth proportional to 82,478.49, 113,913.59 and 55,574.34 is: 76,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,478.49 : 113,913.59 = 55,574.34 : x
  2. Step 2: Convert to fraction form
    82,478.49/113,913.59 = 55,574.34/x
  3. Step 3: Cross multiply
    82,478.49x = 113,913.59 × 55,574.34
  4. Step 4: Simplify right side
    82,478.49x = 6,330,672,303.41
  5. Step 5: Solve for x
    x = 6,330,672,303.41/82,478.49
  6. Step 6: Final answer
    x = 76,755.43

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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.