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Finding the Fourth Proportional to 82,141.84, 113,355.58 and 46,331.76

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Solution

The fourth proportional to 82,141.84, 113,355.58 and 46,331.76 is: 63,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,141.84 : 113,355.58 = 46,331.76 : x
  2. Step 2: Convert to fraction form
    82,141.84/113,355.58 = 46,331.76/x
  3. Step 3: Cross multiply
    82,141.84x = 113,355.58 × 46,331.76
  4. Step 4: Simplify right side
    82,141.84x = 5,251,963,527.22
  5. Step 5: Solve for x
    x = 5,251,963,527.22/82,141.84
  6. Step 6: Final answer
    x = 63,937.74

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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.