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Finding the Fourth Proportional to 82,194.24, 113,428.98 and 46,384.68

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Solution

The fourth proportional to 82,194.24, 113,428.98 and 46,384.68 is: 64,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.24 : 113,428.98 = 46,384.68 : x
  2. Step 2: Convert to fraction form
    82,194.24/113,428.98 = 46,384.68/x
  3. Step 3: Cross multiply
    82,194.24x = 113,428.98 × 46,384.68
  4. Step 4: Simplify right side
    82,194.24x = 5,261,366,940.03
  5. Step 5: Solve for x
    x = 5,261,366,940.03/82,194.24
  6. Step 6: Final answer
    x = 64,011.38

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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.