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Finding the Fourth Proportional to 77,006.84, 106,268.37 and 43,015.88

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Solution

The fourth proportional to 77,006.84, 106,268.37 and 43,015.88 is: 59,361.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,006.84 : 106,268.37 = 43,015.88 : x
  2. Step 2: Convert to fraction form
    77,006.84/106,268.37 = 43,015.88/x
  3. Step 3: Cross multiply
    77,006.84x = 106,268.37 × 43,015.88
  4. Step 4: Simplify right side
    77,006.84x = 4,571,227,451.72
  5. Step 5: Solve for x
    x = 4,571,227,451.72/77,006.84
  6. Step 6: Final answer
    x = 59,361.32

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1.5x scale

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.