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Finding the Fourth Proportional to 43,142.17, 64,709 and 13,559.22

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Solution

The fourth proportional to 43,142.17, 64,709 and 13,559.22 is: 20,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,142.17 : 64,709 = 13,559.22 : x
  2. Step 2: Convert to fraction form
    43,142.17/64,709 = 13,559.22/x
  3. Step 3: Cross multiply
    43,142.17x = 64,709 × 13,559.22
  4. Step 4: Simplify right side
    43,142.17x = 877,403,243.44
  5. Step 5: Solve for x
    x = 877,403,243.44/43,142.17
  6. Step 6: Final answer
    x = 20,337.49

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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.