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Finding the Fourth Proportional to 56,101.06, 77,418.93 and 30,950.38

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Solution

The fourth proportional to 56,101.06, 77,418.93 and 30,950.38 is: 42,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,101.06 : 77,418.93 = 30,950.38 : x
  2. Step 2: Convert to fraction form
    56,101.06/77,418.93 = 30,950.38/x
  3. Step 3: Cross multiply
    56,101.06x = 77,418.93 × 30,950.38
  4. Step 4: Simplify right side
    56,101.06x = 2,396,145,302.69
  5. Step 5: Solve for x
    x = 2,396,145,302.69/56,101.06
  6. Step 6: Final answer
    x = 42,711.23

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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.