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Finding the Fourth Proportional to 74,106.30, 102,257.06 and 42,273.30

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Solution

The fourth proportional to 74,106.30, 102,257.06 and 42,273.30 is: 58,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,106.30 : 102,257.06 = 42,273.30 : x
  2. Step 2: Convert to fraction form
    74,106.30/102,257.06 = 42,273.30/x
  3. Step 3: Cross multiply
    74,106.30x = 102,257.06 × 42,273.30
  4. Step 4: Simplify right side
    74,106.30x = 4,322,743,374.50
  5. Step 5: Solve for x
    x = 4,322,743,374.50/74,106.30
  6. Step 6: Final answer
    x = 58,331.66

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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.