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Finding the Fourth Proportional to 31,666.83, 43,681.20 and 20,911.83

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Solution

The fourth proportional to 31,666.83, 43,681.20 and 20,911.83 is: 28,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.83 : 43,681.20 = 20,911.83 : x
  2. Step 2: Convert to fraction form
    31,666.83/43,681.20 = 20,911.83/x
  3. Step 3: Cross multiply
    31,666.83x = 43,681.20 × 20,911.83
  4. Step 4: Simplify right side
    31,666.83x = 913,453,828.60
  5. Step 5: Solve for x
    x = 913,453,828.60/31,666.83
  6. Step 6: Final answer
    x = 28,845.76

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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.