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Finding the Fourth Proportional to 46,713, 64,463.94 and 29,946

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Solution

The fourth proportional to 46,713, 64,463.94 and 29,946 is: 41,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,713 : 64,463.94 = 29,946 : x
  2. Step 2: Convert to fraction form
    46,713/64,463.94 = 29,946/x
  3. Step 3: Cross multiply
    46,713x = 64,463.94 × 29,946
  4. Step 4: Simplify right side
    46,713x = 1,930,437,147.24
  5. Step 5: Solve for x
    x = 1,930,437,147.24/46,713
  6. Step 6: Final answer
    x = 41,325.48

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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.