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Finding the Fourth Proportional to 31,182.84, 43,032.30 and 16,842.68

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Solution

The fourth proportional to 31,182.84, 43,032.30 and 16,842.68 is: 23,242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,182.84 : 43,032.30 = 16,842.68 : x
  2. Step 2: Convert to fraction form
    31,182.84/43,032.30 = 16,842.68/x
  3. Step 3: Cross multiply
    31,182.84x = 43,032.30 × 16,842.68
  4. Step 4: Simplify right side
    31,182.84x = 724,779,258.56
  5. Step 5: Solve for x
    x = 724,779,258.56/31,182.84
  6. Step 6: Final answer
    x = 23,242.89

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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.