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Finding the Fourth Proportional to 74,166.19, 102,349.83 and 40,174.68

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Solution

The fourth proportional to 74,166.19, 102,349.83 and 40,174.68 is: 55,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,166.19 : 102,349.83 = 40,174.68 : x
  2. Step 2: Convert to fraction form
    74,166.19/102,349.83 = 40,174.68/x
  3. Step 3: Cross multiply
    74,166.19x = 102,349.83 × 40,174.68
  4. Step 4: Simplify right side
    74,166.19x = 4,111,871,263.87
  5. Step 5: Solve for x
    x = 4,111,871,263.87/74,166.19
  6. Step 6: Final answer
    x = 55,441.32

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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.