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Finding the Fourth Proportional to 56,451.32, 77,902.80 and 30,609.89

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Solution

The fourth proportional to 56,451.32, 77,902.80 and 30,609.89 is: 42,241.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,451.32 : 77,902.80 = 30,609.89 : x
  2. Step 2: Convert to fraction form
    56,451.32/77,902.80 = 30,609.89/x
  3. Step 3: Cross multiply
    56,451.32x = 77,902.80 × 30,609.89
  4. Step 4: Simplify right side
    56,451.32x = 2,384,596,138.69
  5. Step 5: Solve for x
    x = 2,384,596,138.69/56,451.32
  6. Step 6: Final answer
    x = 42,241.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.