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Finding the Fourth Proportional to 77,015.31, 106,277.31 and 43,017.02

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Solution

The fourth proportional to 77,015.31, 106,277.31 and 43,017.02 is: 59,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,015.31 : 106,277.31 = 43,017.02 : x
  2. Step 2: Convert to fraction form
    77,015.31/106,277.31 = 43,017.02/x
  3. Step 3: Cross multiply
    77,015.31x = 106,277.31 × 43,017.02
  4. Step 4: Simplify right side
    77,015.31x = 4,571,733,036.97
  5. Step 5: Solve for x
    x = 4,571,733,036.97/77,015.31
  6. Step 6: Final answer
    x = 59,361.36

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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.