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Finding the Fourth Proportional to 73,656.84, 101,642.94 and 41,821.50

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Solution

The fourth proportional to 73,656.84, 101,642.94 and 41,821.50 is: 57,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656.84 : 101,642.94 = 41,821.50 : x
  2. Step 2: Convert to fraction form
    73,656.84/101,642.94 = 41,821.50/x
  3. Step 3: Cross multiply
    73,656.84x = 101,642.94 × 41,821.50
  4. Step 4: Simplify right side
    73,656.84x = 4,250,860,215.21
  5. Step 5: Solve for x
    x = 4,250,860,215.21/73,656.84
  6. Step 6: Final answer
    x = 57,711.68

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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.