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Finding the Fourth Proportional to 75,935.60, 113,902.80 and 19,775.60

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Solution

The fourth proportional to 75,935.60, 113,902.80 and 19,775.60 is: 29,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,935.60 : 113,902.80 = 19,775.60 : x
  2. Step 2: Convert to fraction form
    75,935.60/113,902.80 = 19,775.60/x
  3. Step 3: Cross multiply
    75,935.60x = 113,902.80 × 19,775.60
  4. Step 4: Simplify right side
    75,935.60x = 2,252,496,211.68
  5. Step 5: Solve for x
    x = 2,252,496,211.68/75,935.60
  6. Step 6: Final answer
    x = 29,663.24

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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.