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Finding the Fourth Proportional to 82,162.38, 113,384.16 and 44,436.63

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Solution

The fourth proportional to 82,162.38, 113,384.16 and 44,436.63 is: 61,322.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162.38 : 113,384.16 = 44,436.63 : x
  2. Step 2: Convert to fraction form
    82,162.38/113,384.16 = 44,436.63/x
  3. Step 3: Cross multiply
    82,162.38x = 113,384.16 × 44,436.63
  4. Step 4: Simplify right side
    82,162.38x = 5,038,409,965.78
  5. Step 5: Solve for x
    x = 5,038,409,965.78/82,162.38
  6. Step 6: Final answer
    x = 61,322.59

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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.