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Finding the Fourth Proportional to 96,964.68, 133,799.22 and 56,135.76

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Solution

The fourth proportional to 96,964.68, 133,799.22 and 56,135.76 is: 77,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,964.68 : 133,799.22 = 56,135.76 : x
  2. Step 2: Convert to fraction form
    96,964.68/133,799.22 = 56,135.76/x
  3. Step 3: Cross multiply
    96,964.68x = 133,799.22 × 56,135.76
  4. Step 4: Simplify right side
    96,964.68x = 7,510,920,902.11
  5. Step 5: Solve for x
    x = 7,510,920,902.11/96,964.68
  6. Step 6: Final answer
    x = 77,460.38

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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.