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Finding the Fourth Proportional to 82,431, 113,754.78 and 44,705.52

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Solution

The fourth proportional to 82,431, 113,754.78 and 44,705.52 is: 61,693.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,431 : 113,754.78 = 44,705.52 : x
  2. Step 2: Convert to fraction form
    82,431/113,754.78 = 44,705.52/x
  3. Step 3: Cross multiply
    82,431x = 113,754.78 × 44,705.52
  4. Step 4: Simplify right side
    82,431x = 5,085,466,592.39
  5. Step 5: Solve for x
    x = 5,085,466,592.39/82,431
  6. Step 6: Final answer
    x = 61,693.62

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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.