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Finding the Fourth Proportional to 96,343.34, 144,536.97 and 51,969.11

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Solution

The fourth proportional to 96,343.34, 144,536.97 and 51,969.11 is: 77,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,343.34 : 144,536.97 = 51,969.11 : x
  2. Step 2: Convert to fraction form
    96,343.34/144,536.97 = 51,969.11/x
  3. Step 3: Cross multiply
    96,343.34x = 144,536.97 × 51,969.11
  4. Step 4: Simplify right side
    96,343.34x = 7,511,457,693.00
  5. Step 5: Solve for x
    x = 7,511,457,693.00/96,343.34
  6. Step 6: Final answer
    x = 77,965.51

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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.