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Finding the Fourth Proportional to 74,302.26, 102,538.90 and 40,768.26

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Solution

The fourth proportional to 74,302.26, 102,538.90 and 40,768.26 is: 56,261.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,302.26 : 102,538.90 = 40,768.26 : x
  2. Step 2: Convert to fraction form
    74,302.26/102,538.90 = 40,768.26/x
  3. Step 3: Cross multiply
    74,302.26x = 102,538.90 × 40,768.26
  4. Step 4: Simplify right side
    74,302.26x = 4,180,332,535.31
  5. Step 5: Solve for x
    x = 4,180,332,535.31/74,302.26
  6. Step 6: Final answer
    x = 56,261.18

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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.