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Finding the Fourth Proportional to 51,868, 77,774.14 and 16,322.66

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Solution

The fourth proportional to 51,868, 77,774.14 and 16,322.66 is: 24,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,868 : 77,774.14 = 16,322.66 : x
  2. Step 2: Convert to fraction form
    51,868/77,774.14 = 16,322.66/x
  3. Step 3: Cross multiply
    51,868x = 77,774.14 × 16,322.66
  4. Step 4: Simplify right side
    51,868x = 1,269,480,844.01
  5. Step 5: Solve for x
    x = 1,269,480,844.01/51,868
  6. Step 6: Final answer
    x = 24,475.22

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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.