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Finding the Fourth Proportional to 77,645.98, 107,155.38 and 47,426.41

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Solution

The fourth proportional to 77,645.98, 107,155.38 and 47,426.41 is: 65,450.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,645.98 : 107,155.38 = 47,426.41 : x
  2. Step 2: Convert to fraction form
    77,645.98/107,155.38 = 47,426.41/x
  3. Step 3: Cross multiply
    77,645.98x = 107,155.38 × 47,426.41
  4. Step 4: Simplify right side
    77,645.98x = 5,081,994,985.59
  5. Step 5: Solve for x
    x = 5,081,994,985.59/77,645.98
  6. Step 6: Final answer
    x = 65,450.84

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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.