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Finding the Fourth Proportional to 82,460.38, 113,795.55 and 44,734.63

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Solution

The fourth proportional to 82,460.38, 113,795.55 and 44,734.63 is: 61,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,460.38 : 113,795.55 = 44,734.63 : x
  2. Step 2: Convert to fraction form
    82,460.38/113,795.55 = 44,734.63/x
  3. Step 3: Cross multiply
    82,460.38x = 113,795.55 × 44,734.63
  4. Step 4: Simplify right side
    82,460.38x = 5,090,601,824.90
  5. Step 5: Solve for x
    x = 5,090,601,824.90/82,460.38
  6. Step 6: Final answer
    x = 61,733.91

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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.