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Finding the Fourth Proportional to 83,222.36, 114,838.61 and 47,410.24

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Solution

The fourth proportional to 83,222.36, 114,838.61 and 47,410.24 is: 65,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,222.36 : 114,838.61 = 47,410.24 : x
  2. Step 2: Convert to fraction form
    83,222.36/114,838.61 = 47,410.24/x
  3. Step 3: Cross multiply
    83,222.36x = 114,838.61 × 47,410.24
  4. Step 4: Simplify right side
    83,222.36x = 5,444,525,250.12
  5. Step 5: Solve for x
    x = 5,444,525,250.12/83,222.36
  6. Step 6: Final answer
    x = 65,421.42

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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.