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Finding the Fourth Proportional to 56,087, 77,400.06 and 30,938.12

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Solution

The fourth proportional to 56,087, 77,400.06 and 30,938.12 is: 42,694.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,087 : 77,400.06 = 30,938.12 : x
  2. Step 2: Convert to fraction form
    56,087/77,400.06 = 30,938.12/x
  3. Step 3: Cross multiply
    56,087x = 77,400.06 × 30,938.12
  4. Step 4: Simplify right side
    56,087x = 2,394,612,344.29
  5. Step 5: Solve for x
    x = 2,394,612,344.29/56,087
  6. Step 6: Final answer
    x = 42,694.61

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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.