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Finding the Fourth Proportional to 43,142.56, 64,713.78 and 13,562.98

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Solution

The fourth proportional to 43,142.56, 64,713.78 and 13,562.98 is: 20,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,142.56 : 64,713.78 = 13,562.98 : x
  2. Step 2: Convert to fraction form
    43,142.56/64,713.78 = 13,562.98/x
  3. Step 3: Cross multiply
    43,142.56x = 64,713.78 × 13,562.98
  4. Step 4: Simplify right side
    43,142.56x = 877,711,703.86
  5. Step 5: Solve for x
    x = 877,711,703.86/43,142.56
  6. Step 6: Final answer
    x = 20,344.45

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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.