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Finding the Fourth Proportional to 74,204.30, 102,402.29 and 40,212.86

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Solution

The fourth proportional to 74,204.30, 102,402.29 and 40,212.86 is: 55,493.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,204.30 : 102,402.29 = 40,212.86 : x
  2. Step 2: Convert to fraction form
    74,204.30/102,402.29 = 40,212.86/x
  3. Step 3: Cross multiply
    74,204.30x = 102,402.29 × 40,212.86
  4. Step 4: Simplify right side
    74,204.30x = 4,117,888,539.97
  5. Step 5: Solve for x
    x = 4,117,888,539.97/74,204.30
  6. Step 6: Final answer
    x = 55,493.93

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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.