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Finding the Fourth Proportional to 77,860.38, 107,447.32 and 42,050.38

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Solution

The fourth proportional to 77,860.38, 107,447.32 and 42,050.38 is: 58,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,860.38 : 107,447.32 = 42,050.38 : x
  2. Step 2: Convert to fraction form
    77,860.38/107,447.32 = 42,050.38/x
  3. Step 3: Cross multiply
    77,860.38x = 107,447.32 × 42,050.38
  4. Step 4: Simplify right side
    77,860.38x = 4,518,200,635.98
  5. Step 5: Solve for x
    x = 4,518,200,635.98/77,860.38
  6. Step 6: Final answer
    x = 58,029.52

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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.