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Finding the Fourth Proportional to 96,954.36, 133,753.28 and 56,650

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Solution

The fourth proportional to 96,954.36, 133,753.28 and 56,650 is: 78,151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,954.36 : 133,753.28 = 56,650 : x
  2. Step 2: Convert to fraction form
    96,954.36/133,753.28 = 56,650/x
  3. Step 3: Cross multiply
    96,954.36x = 133,753.28 × 56,650
  4. Step 4: Simplify right side
    96,954.36x = 7,577,123,312
  5. Step 5: Solve for x
    x = 7,577,123,312/96,954.36
  6. Step 6: Final answer
    x = 78,151.44

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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.