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Finding the Fourth Proportional to 76,869, 106,080.84 and 43,335

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Solution

The fourth proportional to 76,869, 106,080.84 and 43,335 is: 59,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,869 : 106,080.84 = 43,335 : x
  2. Step 2: Convert to fraction form
    76,869/106,080.84 = 43,335/x
  3. Step 3: Cross multiply
    76,869x = 106,080.84 × 43,335
  4. Step 4: Simplify right side
    76,869x = 4,597,013,201.40
  5. Step 5: Solve for x
    x = 4,597,013,201.40/76,869
  6. Step 6: Final answer
    x = 59,803.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.