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Finding the Fourth Proportional to 74,526.44, 102,845.44 and 40,534.16

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Solution

The fourth proportional to 74,526.44, 102,845.44 and 40,534.16 is: 55,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,526.44 : 102,845.44 = 40,534.16 : x
  2. Step 2: Convert to fraction form
    74,526.44/102,845.44 = 40,534.16/x
  3. Step 3: Cross multiply
    74,526.44x = 102,845.44 × 40,534.16
  4. Step 4: Simplify right side
    74,526.44x = 4,168,753,520.23
  5. Step 5: Solve for x
    x = 4,168,753,520.23/74,526.44
  6. Step 6: Final answer
    x = 55,936.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.