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Finding the Fourth Proportional to 82,078.84, 113,270.12 and 46,270.60

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Solution

The fourth proportional to 82,078.84, 113,270.12 and 46,270.60 is: 63,854.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,078.84 : 113,270.12 = 46,270.60 : x
  2. Step 2: Convert to fraction form
    82,078.84/113,270.12 = 46,270.60/x
  3. Step 3: Cross multiply
    82,078.84x = 113,270.12 × 46,270.60
  4. Step 4: Simplify right side
    82,078.84x = 5,241,076,414.47
  5. Step 5: Solve for x
    x = 5,241,076,414.47/82,078.84
  6. Step 6: Final answer
    x = 63,854.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.