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Finding the Fourth Proportional to 66,513.24, 91,764.23 and 51,204.47

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Solution

The fourth proportional to 66,513.24, 91,764.23 and 51,204.47 is: 70,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,513.24 : 91,764.23 = 51,204.47 : x
  2. Step 2: Convert to fraction form
    66,513.24/91,764.23 = 51,204.47/x
  3. Step 3: Cross multiply
    66,513.24x = 91,764.23 × 51,204.47
  4. Step 4: Simplify right side
    66,513.24x = 4,698,738,391.38
  5. Step 5: Solve for x
    x = 4,698,738,391.38/66,513.24
  6. Step 6: Final answer
    x = 70,643.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.