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Finding the Fourth Proportional to 83,208.39, 114,814.17 and 47,399.10

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Solution

The fourth proportional to 83,208.39, 114,814.17 and 47,399.10 is: 65,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,208.39 : 114,814.17 = 47,399.10 : x
  2. Step 2: Convert to fraction form
    83,208.39/114,814.17 = 47,399.10/x
  3. Step 3: Cross multiply
    83,208.39x = 114,814.17 × 47,399.10
  4. Step 4: Simplify right side
    83,208.39x = 5,442,088,325.25
  5. Step 5: Solve for x
    x = 5,442,088,325.25/83,208.39
  6. Step 6: Final answer
    x = 65,403.12

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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.