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Finding the Fourth Proportional to 43,135.76, 64,703.62 and 11,971

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Solution

The fourth proportional to 43,135.76, 64,703.62 and 11,971 is: 17,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,135.76 : 64,703.62 = 11,971 : x
  2. Step 2: Convert to fraction form
    43,135.76/64,703.62 = 11,971/x
  3. Step 3: Cross multiply
    43,135.76x = 64,703.62 × 11,971
  4. Step 4: Simplify right side
    43,135.76x = 774,567,035.02
  5. Step 5: Solve for x
    x = 774,567,035.02/43,135.76
  6. Step 6: Final answer
    x = 17,956.49

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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.