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Finding the Fourth Proportional to 44,135.76, 66,203.62 and 12,971

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Solution

The fourth proportional to 44,135.76, 66,203.62 and 12,971 is: 19,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,135.76 : 66,203.62 = 12,971 : x
  2. Step 2: Convert to fraction form
    44,135.76/66,203.62 = 12,971/x
  3. Step 3: Cross multiply
    44,135.76x = 66,203.62 × 12,971
  4. Step 4: Simplify right side
    44,135.76x = 858,727,155.02
  5. Step 5: Solve for x
    x = 858,727,155.02/44,135.76
  6. Step 6: Final answer
    x = 19,456.49

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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.