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Finding the Fourth Proportional to 83,216.19, 114,810.28 and 47,380.84

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Solution

The fourth proportional to 83,216.19, 114,810.28 and 47,380.84 is: 65,369.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,216.19 : 114,810.28 = 47,380.84 : x
  2. Step 2: Convert to fraction form
    83,216.19/114,810.28 = 47,380.84/x
  3. Step 3: Cross multiply
    83,216.19x = 114,810.28 × 47,380.84
  4. Step 4: Simplify right side
    83,216.19x = 5,439,807,507.04
  5. Step 5: Solve for x
    x = 5,439,807,507.04/83,216.19
  6. Step 6: Final answer
    x = 65,369.58

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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.