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Finding the Fourth Proportional to 31,779.84, 43,857.55 and 17,632.69

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Solution

The fourth proportional to 31,779.84, 43,857.55 and 17,632.69 is: 24,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,779.84 : 43,857.55 = 17,632.69 : x
  2. Step 2: Convert to fraction form
    31,779.84/43,857.55 = 17,632.69/x
  3. Step 3: Cross multiply
    31,779.84x = 43,857.55 × 17,632.69
  4. Step 4: Simplify right side
    31,779.84x = 773,326,495.71
  5. Step 5: Solve for x
    x = 773,326,495.71/31,779.84
  6. Step 6: Final answer
    x = 24,333.87

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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.