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Finding the Fourth Proportional to 74,212.90, 102,415.05 and 40,222.49

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Solution

The fourth proportional to 74,212.90, 102,415.05 and 40,222.49 is: 55,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,212.90 : 102,415.05 = 40,222.49 : x
  2. Step 2: Convert to fraction form
    74,212.90/102,415.05 = 40,222.49/x
  3. Step 3: Cross multiply
    74,212.90x = 102,415.05 × 40,222.49
  4. Step 4: Simplify right side
    74,212.90x = 4,119,387,812.40
  5. Step 5: Solve for x
    x = 4,119,387,812.40/74,212.90
  6. Step 6: Final answer
    x = 55,507.71

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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.