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Finding the Fourth Proportional to 82,051.65, 113,269.05 and 48,055.41

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Solution

The fourth proportional to 82,051.65, 113,269.05 and 48,055.41 is: 66,338.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,051.65 : 113,269.05 = 48,055.41 : x
  2. Step 2: Convert to fraction form
    82,051.65/113,269.05 = 48,055.41/x
  3. Step 3: Cross multiply
    82,051.65x = 113,269.05 × 48,055.41
  4. Step 4: Simplify right side
    82,051.65x = 5,443,190,638.06
  5. Step 5: Solve for x
    x = 5,443,190,638.06/82,051.65
  6. Step 6: Final answer
    x = 66,338.59

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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.