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Finding the Fourth Proportional to 42,190.90, 63,171.06 and 30,356.50

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Solution

The fourth proportional to 42,190.90, 63,171.06 and 30,356.50 is: 45,451.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,190.90 : 63,171.06 = 30,356.50 : x
  2. Step 2: Convert to fraction form
    42,190.90/63,171.06 = 30,356.50/x
  3. Step 3: Cross multiply
    42,190.90x = 63,171.06 × 30,356.50
  4. Step 4: Simplify right side
    42,190.90x = 1,917,651,967.03
  5. Step 5: Solve for x
    x = 1,917,651,967.03/42,190.90
  6. Step 6: Final answer
    x = 45,451.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.