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Finding the Fourth Proportional to 77,051, 106,330.38 and 41,723

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Solution

The fourth proportional to 77,051, 106,330.38 and 41,723 is: 57,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,051 : 106,330.38 = 41,723 : x
  2. Step 2: Convert to fraction form
    77,051/106,330.38 = 41,723/x
  3. Step 3: Cross multiply
    77,051x = 106,330.38 × 41,723
  4. Step 4: Simplify right side
    77,051x = 4,436,422,444.74
  5. Step 5: Solve for x
    x = 4,436,422,444.74/77,051
  6. Step 6: Final answer
    x = 57,577.74

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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.