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Finding the Fourth Proportional to 82,254.30, 113,510.94 and 44,528.54

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Solution

The fourth proportional to 82,254.30, 113,510.94 and 44,528.54 is: 61,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,254.30 : 113,510.94 = 44,528.54 : x
  2. Step 2: Convert to fraction form
    82,254.30/113,510.94 = 44,528.54/x
  3. Step 3: Cross multiply
    82,254.30x = 113,510.94 × 44,528.54
  4. Step 4: Simplify right side
    82,254.30x = 5,054,476,432.23
  5. Step 5: Solve for x
    x = 5,054,476,432.23/82,254.30
  6. Step 6: Final answer
    x = 61,449.39

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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.