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Finding the Fourth Proportional to 73,034.82, 100,788.06 and 41,210.46

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Solution

The fourth proportional to 73,034.82, 100,788.06 and 41,210.46 is: 56,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,034.82 : 100,788.06 = 41,210.46 : x
  2. Step 2: Convert to fraction form
    73,034.82/100,788.06 = 41,210.46/x
  3. Step 3: Cross multiply
    73,034.82x = 100,788.06 × 41,210.46
  4. Step 4: Simplify right side
    73,034.82x = 4,153,522,315.11
  5. Step 5: Solve for x
    x = 4,153,522,315.11/73,034.82
  6. Step 6: Final answer
    x = 56,870.44

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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.