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Finding the Fourth Proportional to 82,357.56, 113,653.53 and 44,631.81

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Solution

The fourth proportional to 82,357.56, 113,653.53 and 44,631.81 is: 61,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,357.56 : 113,653.53 = 44,631.81 : x
  2. Step 2: Convert to fraction form
    82,357.56/113,653.53 = 44,631.81/x
  3. Step 3: Cross multiply
    82,357.56x = 113,653.53 × 44,631.81
  4. Step 4: Simplify right side
    82,357.56x = 5,072,562,756.79
  5. Step 5: Solve for x
    x = 5,072,562,756.79/82,357.56
  6. Step 6: Final answer
    x = 61,591.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.