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Finding the Fourth Proportional to 31,761.48, 43,779.72 and 21,549.16

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Solution

The fourth proportional to 31,761.48, 43,779.72 and 21,549.16 is: 29,703.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,761.48 : 43,779.72 = 21,549.16 : x
  2. Step 2: Convert to fraction form
    31,761.48/43,779.72 = 21,549.16/x
  3. Step 3: Cross multiply
    31,761.48x = 43,779.72 × 21,549.16
  4. Step 4: Simplify right side
    31,761.48x = 943,416,191.04
  5. Step 5: Solve for x
    x = 943,416,191.04/31,761.48
  6. Step 6: Final answer
    x = 29,703.16

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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.