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Finding the Fourth Proportional to 83,208.40, 114,814.16 and 47,399.10

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Solution

The fourth proportional to 83,208.40, 114,814.16 and 47,399.10 is: 65,403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,208.40 : 114,814.16 = 47,399.10 : x
  2. Step 2: Convert to fraction form
    83,208.40/114,814.16 = 47,399.10/x
  3. Step 3: Cross multiply
    83,208.40x = 114,814.16 × 47,399.10
  4. Step 4: Simplify right side
    83,208.40x = 5,442,087,851.26
  5. Step 5: Solve for x
    x = 5,442,087,851.26/83,208.40
  6. Step 6: Final answer
    x = 65,403.11

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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.