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Finding the Fourth Proportional to 77,013, 106,278.26 and 41,685

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Solution

The fourth proportional to 77,013, 106,278.26 and 41,685 is: 57,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,013 : 106,278.26 = 41,685 : x
  2. Step 2: Convert to fraction form
    77,013/106,278.26 = 41,685/x
  3. Step 3: Cross multiply
    77,013x = 106,278.26 × 41,685
  4. Step 4: Simplify right side
    77,013x = 4,430,209,268.10
  5. Step 5: Solve for x
    x = 4,430,209,268.10/77,013
  6. Step 6: Final answer
    x = 57,525.47

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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.