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Finding the Fourth Proportional to 31,010.70, 42,818.87 and 23,829.30

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Solution

The fourth proportional to 31,010.70, 42,818.87 and 23,829.30 is: 32,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,010.70 : 42,818.87 = 23,829.30 : x
  2. Step 2: Convert to fraction form
    31,010.70/42,818.87 = 23,829.30/x
  3. Step 3: Cross multiply
    31,010.70x = 42,818.87 × 23,829.30
  4. Step 4: Simplify right side
    31,010.70x = 1,020,343,698.89
  5. Step 5: Solve for x
    x = 1,020,343,698.89/31,010.70
  6. Step 6: Final answer
    x = 32,902.96

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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.