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Finding the Fourth Proportional to 74,052.60, 102,195.30 and 42,221.16

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Solution

The fourth proportional to 74,052.60, 102,195.30 and 42,221.16 is: 58,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052.60 : 102,195.30 = 42,221.16 : x
  2. Step 2: Convert to fraction form
    74,052.60/102,195.30 = 42,221.16/x
  3. Step 3: Cross multiply
    74,052.60x = 102,195.30 × 42,221.16
  4. Step 4: Simplify right side
    74,052.60x = 4,314,804,112.55
  5. Step 5: Solve for x
    x = 4,314,804,112.55/74,052.60
  6. Step 6: Final answer
    x = 58,266.75

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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.