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Finding the Fourth Proportional to 31,393.70, 43,312.74 and 17,779.88

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Solution

The fourth proportional to 31,393.70, 43,312.74 and 17,779.88 is: 24,530.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.70 : 43,312.74 = 17,779.88 : x
  2. Step 2: Convert to fraction form
    31,393.70/43,312.74 = 17,779.88/x
  3. Step 3: Cross multiply
    31,393.70x = 43,312.74 × 17,779.88
  4. Step 4: Simplify right side
    31,393.70x = 770,095,319.67
  5. Step 5: Solve for x
    x = 770,095,319.67/31,393.70
  6. Step 6: Final answer
    x = 24,530.25

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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.