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Finding the Fourth Proportional to 51,716.72, 77,575.12 and 16,656.32

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Solution

The fourth proportional to 51,716.72, 77,575.12 and 16,656.32 is: 24,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,716.72 : 77,575.12 = 16,656.32 : x
  2. Step 2: Convert to fraction form
    51,716.72/77,575.12 = 16,656.32/x
  3. Step 3: Cross multiply
    51,716.72x = 77,575.12 × 16,656.32
  4. Step 4: Simplify right side
    51,716.72x = 1,292,116,022.76
  5. Step 5: Solve for x
    x = 1,292,116,022.76/51,716.72
  6. Step 6: Final answer
    x = 24,984.49

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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.