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Finding the Fourth Proportional to 31,133.81, 43,011.50 and 20,404.19

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Solution

The fourth proportional to 31,133.81, 43,011.50 and 20,404.19 is: 28,188.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,133.81 : 43,011.50 = 20,404.19 : x
  2. Step 2: Convert to fraction form
    31,133.81/43,011.50 = 20,404.19/x
  3. Step 3: Cross multiply
    31,133.81x = 43,011.50 × 20,404.19
  4. Step 4: Simplify right side
    31,133.81x = 877,614,501.11
  5. Step 5: Solve for x
    x = 877,614,501.11/31,133.81
  6. Step 6: Final answer
    x = 28,188.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.