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Finding the Fourth Proportional to 51,969.84, 71,713.33 and 29,312.38

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Solution

The fourth proportional to 51,969.84, 71,713.33 and 29,312.38 is: 40,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,969.84 : 71,713.33 = 29,312.38 : x
  2. Step 2: Convert to fraction form
    51,969.84/71,713.33 = 29,312.38/x
  3. Step 3: Cross multiply
    51,969.84x = 71,713.33 × 29,312.38
  4. Step 4: Simplify right side
    51,969.84x = 2,102,088,380.03
  5. Step 5: Solve for x
    x = 2,102,088,380.03/51,969.84
  6. Step 6: Final answer
    x = 40,448.24

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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.