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Finding the Fourth Proportional to 82,523.66, 123,765.58 and 38,107.72

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Solution

The fourth proportional to 82,523.66, 123,765.58 and 38,107.72 is: 57,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,523.66 : 123,765.58 = 38,107.72 : x
  2. Step 2: Convert to fraction form
    82,523.66/123,765.58 = 38,107.72/x
  3. Step 3: Cross multiply
    82,523.66x = 123,765.58 × 38,107.72
  4. Step 4: Simplify right side
    82,523.66x = 4,716,424,068.28
  5. Step 5: Solve for x
    x = 4,716,424,068.28/82,523.66
  6. Step 6: Final answer
    x = 57,152.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.