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Finding the Fourth Proportional to 51,001.80, 76,391.64 and 24,651

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Solution

The fourth proportional to 51,001.80, 76,391.64 and 24,651 is: 36,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,001.80 : 76,391.64 = 24,651 : x
  2. Step 2: Convert to fraction form
    51,001.80/76,391.64 = 24,651/x
  3. Step 3: Cross multiply
    51,001.80x = 76,391.64 × 24,651
  4. Step 4: Simplify right side
    51,001.80x = 1,883,130,317.64
  5. Step 5: Solve for x
    x = 1,883,130,317.64/51,001.80
  6. Step 6: Final answer
    x = 36,922.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.