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Finding the Fourth Proportional to 51,421.88, 77,074.50 and 21,821.24

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Solution

The fourth proportional to 51,421.88, 77,074.50 and 21,821.24 is: 32,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,421.88 : 77,074.50 = 21,821.24 : x
  2. Step 2: Convert to fraction form
    51,421.88/77,074.50 = 21,821.24/x
  3. Step 3: Cross multiply
    51,421.88x = 77,074.50 × 21,821.24
  4. Step 4: Simplify right side
    51,421.88x = 1,681,861,162.38
  5. Step 5: Solve for x
    x = 1,681,861,162.38/51,421.88
  6. Step 6: Final answer
    x = 32,707.11

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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.