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Finding the Fourth Proportional to 82,131.84, 113,348.61 and 46,329.27

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Solution

The fourth proportional to 82,131.84, 113,348.61 and 46,329.27 is: 63,938.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,131.84 : 113,348.61 = 46,329.27 : x
  2. Step 2: Convert to fraction form
    82,131.84/113,348.61 = 46,329.27/x
  3. Step 3: Cross multiply
    82,131.84x = 113,348.61 × 46,329.27
  4. Step 4: Simplify right side
    82,131.84x = 5,251,358,356.81
  5. Step 5: Solve for x
    x = 5,251,358,356.81/82,131.84
  6. Step 6: Final answer
    x = 63,938.16

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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.