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Finding the Fourth Proportional to 82,041.63, 113,217.54 and 44,315.88

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Solution

The fourth proportional to 82,041.63, 113,217.54 and 44,315.88 is: 61,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,041.63 : 113,217.54 = 44,315.88 : x
  2. Step 2: Convert to fraction form
    82,041.63/113,217.54 = 44,315.88/x
  3. Step 3: Cross multiply
    82,041.63x = 113,217.54 × 44,315.88
  4. Step 4: Simplify right side
    82,041.63x = 5,017,334,916.54
  5. Step 5: Solve for x
    x = 5,017,334,916.54/82,041.63
  6. Step 6: Final answer
    x = 61,155.96

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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.