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Finding the Fourth Proportional to 82,467.92, 113,806.32 and 44,742.08

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Solution

The fourth proportional to 82,467.92, 113,806.32 and 44,742.08 is: 61,744.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467.92 : 113,806.32 = 44,742.08 : x
  2. Step 2: Convert to fraction form
    82,467.92/113,806.32 = 44,742.08/x
  3. Step 3: Cross multiply
    82,467.92x = 113,806.32 × 44,742.08
  4. Step 4: Simplify right side
    82,467.92x = 5,091,931,473.95
  5. Step 5: Solve for x
    x = 5,091,931,473.95/82,467.92
  6. Step 6: Final answer
    x = 61,744.39

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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.