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Finding the Fourth Proportional to 51,895.39, 77,854.02 and 16,832.32

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Solution

The fourth proportional to 51,895.39, 77,854.02 and 16,832.32 is: 25,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,895.39 : 77,854.02 = 16,832.32 : x
  2. Step 2: Convert to fraction form
    51,895.39/77,854.02 = 16,832.32/x
  3. Step 3: Cross multiply
    51,895.39x = 77,854.02 × 16,832.32
  4. Step 4: Simplify right side
    51,895.39x = 1,310,463,777.93
  5. Step 5: Solve for x
    x = 1,310,463,777.93/51,895.39
  6. Step 6: Final answer
    x = 25,252.03

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Why These Related Problems?

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