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Finding the Fourth Proportional to 81,907.43, 113,035.90 and 46,099.76

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Solution

The fourth proportional to 81,907.43, 113,035.90 and 46,099.76 is: 63,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,907.43 : 113,035.90 = 46,099.76 : x
  2. Step 2: Convert to fraction form
    81,907.43/113,035.90 = 46,099.76/x
  3. Step 3: Cross multiply
    81,907.43x = 113,035.90 × 46,099.76
  4. Step 4: Simplify right side
    81,907.43x = 5,210,927,861.38
  5. Step 5: Solve for x
    x = 5,210,927,861.38/81,907.43
  6. Step 6: Final answer
    x = 63,619.72

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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.