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Finding the Fourth Proportional to 82,114.77, 113,318.46 and 44,389.02

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Solution

The fourth proportional to 82,114.77, 113,318.46 and 44,389.02 is: 61,256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.77 : 113,318.46 = 44,389.02 : x
  2. Step 2: Convert to fraction form
    82,114.77/113,318.46 = 44,389.02/x
  3. Step 3: Cross multiply
    82,114.77x = 113,318.46 × 44,389.02
  4. Step 4: Simplify right side
    82,114.77x = 5,030,095,387.31
  5. Step 5: Solve for x
    x = 5,030,095,387.31/82,114.77
  6. Step 6: Final answer
    x = 61,256.89

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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.