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Finding the Fourth Proportional to 56,196.14, 77,556.03 and 30,706.38

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Solution

The fourth proportional to 56,196.14, 77,556.03 and 30,706.38 is: 42,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,196.14 : 77,556.03 = 30,706.38 : x
  2. Step 2: Convert to fraction form
    56,196.14/77,556.03 = 30,706.38/x
  3. Step 3: Cross multiply
    56,196.14x = 77,556.03 × 30,706.38
  4. Step 4: Simplify right side
    56,196.14x = 2,381,464,752.79
  5. Step 5: Solve for x
    x = 2,381,464,752.79/56,196.14
  6. Step 6: Final answer
    x = 42,377.73

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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.