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Finding the Fourth Proportional to 51,741.93, 77,622.80 and 16,672.17

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Solution

The fourth proportional to 51,741.93, 77,622.80 and 16,672.17 is: 25,011.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,741.93 : 77,622.80 = 16,672.17 : x
  2. Step 2: Convert to fraction form
    51,741.93/77,622.80 = 16,672.17/x
  3. Step 3: Cross multiply
    51,741.93x = 77,622.80 × 16,672.17
  4. Step 4: Simplify right side
    51,741.93x = 1,294,140,434.12
  5. Step 5: Solve for x
    x = 1,294,140,434.12/51,741.93
  6. Step 6: Final answer
    x = 25,011.44

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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.