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Finding the Fourth Proportional to 74,361, 102,618.18 and 40,829.16

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Solution

The fourth proportional to 74,361, 102,618.18 and 40,829.16 is: 56,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,361 : 102,618.18 = 40,829.16 : x
  2. Step 2: Convert to fraction form
    74,361/102,618.18 = 40,829.16/x
  3. Step 3: Cross multiply
    74,361x = 102,618.18 × 40,829.16
  4. Step 4: Simplify right side
    74,361x = 4,189,814,090.13
  5. Step 5: Solve for x
    x = 4,189,814,090.13/74,361
  6. Step 6: Final answer
    x = 56,344.24

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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.