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Finding the Fourth Proportional to 83,215.62, 114,838.32 and 47,405.10

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Solution

The fourth proportional to 83,215.62, 114,838.32 and 47,405.10 is: 65,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,215.62 : 114,838.32 = 47,405.10 : x
  2. Step 2: Convert to fraction form
    83,215.62/114,838.32 = 47,405.10/x
  3. Step 3: Cross multiply
    83,215.62x = 114,838.32 × 47,405.10
  4. Step 4: Simplify right side
    83,215.62x = 5,443,922,043.43
  5. Step 5: Solve for x
    x = 5,443,922,043.43/83,215.62
  6. Step 6: Final answer
    x = 65,419.47

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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.