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Finding the Fourth Proportional to 66,941.10, 100,411.65 and 27,477.90

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Solution

The fourth proportional to 66,941.10, 100,411.65 and 27,477.90 is: 41,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,941.10 : 100,411.65 = 27,477.90 : x
  2. Step 2: Convert to fraction form
    66,941.10/100,411.65 = 27,477.90/x
  3. Step 3: Cross multiply
    66,941.10x = 100,411.65 × 27,477.90
  4. Step 4: Simplify right side
    66,941.10x = 2,759,101,277.54
  5. Step 5: Solve for x
    x = 2,759,101,277.54/66,941.10
  6. Step 6: Final answer
    x = 41,216.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.